{"id":82835,"date":"2020-12-15T14:13:55","date_gmt":"2020-12-15T13:13:55","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=82835"},"modified":"2024-04-23T13:12:16","modified_gmt":"2024-04-23T12:12:16","slug":"cours-en-ligne-exercices-corriges-suites-numeriques-premiere","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/","title":{"rendered":"Exercices sur les suites num\u00e9riques en premi\u00e8re"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\" style=\"text-align: justify\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"87251\" class=\"elementor elementor-87251\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-76a65432 elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"76a65432\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-32a46fa2 sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"32a46fa2\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-2c50cf2d elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"2c50cf2d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-708bb572 strick_col ae-bg-gallery-type-default\" data-id=\"708bb572\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44855a3b elementor-widget elementor-widget-heading\" data-id=\"44855a3b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-premiere\/\">Cours en ligne Maths en Premi\u00e8re<\/a><\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d098b5f elementor-widget elementor-widget-heading\" data-id=\"3d098b5f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres de maths en 1\u00e8re<\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-863d969 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"863d969\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-second-degre-premiere\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Polyn\u00f4mes du second degr\u00e8s<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1607a6f1 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1607a6f1\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-suites-numeriques-premiere\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Suites num\u00e9riques<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7798f9f6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"7798f9f6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-suites-arithmetiques-geometriques-premiere\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Suites arithm\u00e9tiques et g\u00e9om\u00e9triques<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f697186 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f697186\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-derivation-premiere\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9rivation<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-282e9f8d elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"282e9f8d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Variations et courbes repr\u00e9sentatives de fonctions<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f812ad3 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"5f812ad3\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonction-exponentielle-premiere\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonction exponentielle<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-475e5edd elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"475e5edd\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions trigonom\u00e9triques<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3283d8ad elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3283d8ad\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Calcul vectoriel et produit scalaire<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3c974042 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3c974042\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Application du produit scalaire<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-20be8f12 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"20be8f12\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Probabilit\u00e9s conditionnelles<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6de3e03b elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6de3e03b\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Variables al\u00e9atoires<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ecff8f0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"7ecff8f0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie rep\u00e9r\u00e9e<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7f576bd6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"7f576bd6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000;font-family: 'Lato', Sans-serif\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"text-align: justify\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center\">Exercices corrig\u00e9s : suites num\u00e9riques en premi\u00e8re<\/h1>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"text-align: center\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-suites-numeriques-premiere\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"text-align: center\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-premiere\/\">Cours en ligne de Maths en Premi\u00e8re<\/a><\/p>\n<p style=\"text-align: justify\">Ces <strong>exercices sur les suites num\u00e9riques en 1\u00e8re<\/strong> permettent aux \u00e9l\u00e8ves de mettre en application le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-premiere\/\">cours en ligne de maths en premi\u00e8re<\/a> sur les suites afin de v\u00e9rifier qu&rsquo;ils l&rsquo;ont bien compris. D&rsquo;autres exercices sont disponibles sur notre site comme des <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-second-degre-premiere\/\">exercices sur le second degr\u00e9 en premi\u00e8re<\/a>, des <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-derivation-premiere\/\">exercices sur la d\u00e9rivation<\/a>, des <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/\">exercices sur la fonction exponentielle<\/a> par exemple ou encore des <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-arithmetiques-geometriques-premiere\/\">exercices sur les suites arithm\u00e9tiques et g\u00e9om\u00e9triques<\/a>.<\/p>\n<p style=\"text-align: justify\">\n<h2 style=\"text-align: justify\">Suites num\u00e9riques en 1\u00e8re : exercice 1<\/h2>\n<p style=\"text-align: justify\">D\u00e9terminez l&rsquo;expression du terme g\u00e9n\u00e9ral d&rsquo;une suite.<\/p>\n<p style=\"text-align: justify\">Proposer une suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cb1da3798fc00dec78f4e11a6bdd220e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;&#44;&#32;&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"\/> satisfaisant les conditions suivantes. On demande de d\u00e9terminer le terme g\u00e9n\u00e9ral en fonction de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 1 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9eee8b645082f43119450c81b64162a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#48;&#32;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-863868fbd98708e3f5f2ea323198f590_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#49;&#48;&#125;&#61;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" style=\"vertical-align: -3px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 2 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d464523280cc18bfd74a150d446f6aa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#48;&#61;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4c506d8462656b27a68ed0d86ae066df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#49;&#48;&#125;&#61;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-59a1bce6f9113ce36757817507d8583e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#50;&#48;&#125;&#61;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -3px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 3 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0b22217aaf4c6b3d367d6d66b0c32425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#51;&#61;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3fe8d2a0ea7e1fa458d7d2cfde9e0c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#61;&#49;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"59\" style=\"vertical-align: -3px;\"\/> et pour un r\u00e9el <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-27466afee657831c09c4cbece7a1e2e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#32;&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#61;&#97;&#117;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"105\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 4 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e148112fb1c253dc20cb3d12e13434_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#50;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"52\" style=\"vertical-align: -12px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1726b34229661b62c8bd86d9071afaf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"61\" style=\"vertical-align: -12px;\"\/>.<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"84983\" class=\"elementor elementor-84983\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-51d9c4d elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"51d9c4d\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-610eeeb9 ae-bg-gallery-type-default\" data-id=\"610eeeb9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5bf69eb8 elementor-widget elementor-widget-heading\" data-id=\"5bf69eb8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49568da4 elementor-widget elementor-widget-heading\" data-id=\"49568da4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs professeurs particuliers<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1eb9e0cb elementor-widget elementor-widget-heading\" data-id=\"1eb9e0cb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Pour progresser et r\u00e9ussir<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15c3e28d elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"15c3e28d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers maths<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1a5c10e7 elementor-widget elementor-widget-text-editor\" data-id=\"1a5c10e7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6913d4fe ae-bg-gallery-type-default\" data-id=\"6913d4fe\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify\">Exercice 1 sur les suites num\u00e9riques corrig\u00e9<\/h2>\n<ul>\n<li style=\"text-align: justify\">Question 1<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Il existe une infinit\u00e9 de suites satisfaisant des conditions sur des termes particuliers. Etant donn\u00e9 que les suites sont des fonctions d\u00e9finies sur l&rsquo;ensemble des entiers naturels, on peut se servir des r\u00e9sultats sur les fonctions vues en classe de seconde.<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b6e225d778ccd32cb2bd9cc4eaead9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#117;&#108;&#108;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"7\" width=\"8\" style=\"vertical-align: 1px;\"\/> Si on demande une fonction en connaissant les images de deux ant\u00e9c\u00e9dents, on peut proposer une fonction affine de la forme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8283d64e47d26d1d5875ca36ed64ee3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#61;&#97;&#110;&#43;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"93\" style=\"vertical-align: -3px;\"\/> o\u00f9 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-76af1f8d2f905671e8a48d06b8666e75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#98;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#82;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"60\" style=\"vertical-align: -4px;\"\/>;<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b6e225d778ccd32cb2bd9cc4eaead9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#117;&#108;&#108;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"7\" width=\"8\" style=\"vertical-align: 1px;\"\/> Si on demande une fonction en connaissant les images de trois ant\u00e9c\u00e9dents, on peut proposer une fonction du second degr\u00e9 de la forme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-05baacace1cf7f79575de8803ac19430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#110;&#94;&#50;&#43;&#98;&#110;&#43;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"97\" style=\"vertical-align: -2px;\"\/> o\u00f9 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-dc451b1daec6608f6102e8db060e10e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#98;&#44;&#99;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#82;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"75\" style=\"vertical-align: -4px;\"\/>.<\/p>\n<p style=\"text-align: justify\">1. <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff331d628525ef417707b0ea8a275bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#48;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b835670f69126e11253bfa448f5e1ddb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#49;&#48;&#125;&#32;&#61;&#32;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" style=\"vertical-align: -3px;\"\/>. La repr\u00e9sentation graphique (un nuage de points) de la suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> passe par deux points de coordonn\u00e9es <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cc76a6fc52d963c78fae8171ac448102_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#59;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-af81a080879e0fbcf5c45258c729f504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#48;&#59;&#49;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"\/>. On peut choisir la relation affine : il existe <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-349045253e12a9dffdc527cb77c3c678_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#32;&#98;&#92;&#105;&#110;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#82;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"60\" style=\"vertical-align: -4px;\"\/> tels que pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-588616762f1acc1b153991dd6fa4f83c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f84259ed28d9c778a673b3b625acadaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#61;&#32;&#97;&#110;&#32;&#43;&#32;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"93\" style=\"vertical-align: -3px;\"\/>. Dans ce cas, les conditions de l&rsquo;\u00e9nonc\u00e9 peuvent \u00eatre traduites par :<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ac767fccd595441f243a1fc10a39cae4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#108;&#125;&#32;&#97;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#48;&#32;&#43;&#32;&#98;&#32;&#61;&#32;&#48;&#32;&#92;&#92;&#97;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#32;&#43;&#32;&#98;&#32;&#61;&#32;&#49;&#48;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"139\" style=\"vertical-align: -17px;\"\/><\/p>\n<p style=\"text-align: justify\">Donc :<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4757647dc5993a5cfbd21d809ef1a521_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#108;&#125;&#32;&#98;&#32;&#61;&#32;&#48;&#32;&#92;&#92;&#32;&#49;&#48;&#97;&#32;&#43;&#32;&#98;&#32;&#61;&#32;&#49;&#48;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"117\" style=\"vertical-align: -17px;\"\/><\/p>\n<p style=\"text-align: justify\">Ainsi <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-95da43a5bc14272fce636a41933ec65b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"40\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e9d3a100476b5a52121be7f1f3b19023_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"41\" style=\"vertical-align: -1px;\"\/>. On obtient le terme g\u00e9n\u00e9ral de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> en fonction de n : <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b1d8a50f2cb6890ad6b17cb3894a8638_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#61;&#32;&#110;&#44;&#32;&#92;&#102;&#111;&#114;&#97;&#108;&#108;&#32;&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"117\" style=\"vertical-align: -4px;\"\/><\/p>\n<ul>\n<li style=\"text-align: justify\">Question 2<\/li>\n<\/ul>\n<p style=\"text-align: justify\">La repr\u00e9sentation graphique de la suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> passe par trois points de coordonn\u00e9es <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-89c1c7461ad0948e050897ae5e8de11c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#59;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fda02d6c8467b73509122367de52c6a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#48;&#59;&#50;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8bd60b66a3f904afca8b8ce6e9b0da22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#50;&#48;&#59;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"\/>. On peut choisir une expression du second degr\u00e9 : il existe <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-74eb1a7646fd6644bcdae41b66d1b1b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#44;&#32;&#98;&#44;&#32;&#99;&#92;&#105;&#110;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#82;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"75\" style=\"vertical-align: -4px;\"\/> tels que pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-588616762f1acc1b153991dd6fa4f83c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d6e4248893b9876f60d8e015fbdc3118_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#61;&#32;&#97;&#110;&#94;&#50;&#43;&#98;&#110;&#43;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"140\" style=\"vertical-align: -3px;\"\/>. Dans ce cas, les conditions de l&rsquo;\u00e9nonc\u00e9 peuvent \u00eatre traduites par :<\/p>\n<p style=\"text-align: justify\">c = 2<\/p>\n<p style=\"text-align: justify\">100a + 10b + c = 20<\/p>\n<p style=\"text-align: justify\">400a + 20b + c = 2<\/p>\n<p style=\"text-align: justify\">On remplace la valeur de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/> dans les deux derni\u00e8res \u00e9quations:<\/p>\n<p style=\"text-align: justify\">100a + 10b = 18<\/p>\n<p style=\"text-align: justify\">400a + 20b = 0<\/p>\n<p style=\"text-align: justify\">Par la m\u00e9thode par substitution, la deuxi\u00e8me \u00e9quation donne: b = -20a<\/p>\n<p style=\"text-align: justify\">La premi\u00e8re \u00e9quation donne:<\/p>\n<p style=\"text-align: justify\">100a &#8211; 200a = 18<\/p>\n<p style=\"text-align: justify\">Ce qui donne:<\/p>\n<p style=\"text-align: justify\">a= &#8211;<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b765a2d696c71ae30cad094d74e08bd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"27\" style=\"vertical-align: -12px;\"\/> = &#8211;<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f7e812ba8f8d45efd7b46ab53e57af73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"18\" style=\"vertical-align: -12px;\"\/><\/p>\n<p style=\"text-align: justify\">Par cons\u00e9quent,<\/p>\n<p style=\"text-align: justify\">b = <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aabae96ea959eda98d09594c5cb5b6ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#50;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#40;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#48;&#125;&#41;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#125;&#123;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"145\" style=\"vertical-align: -12px;\"\/><\/p>\n<p style=\"text-align: justify\">Donc pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-588616762f1acc1b153991dd6fa4f83c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-82fca417c377a14c95ce43bd984b8fdd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#61;&#32;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#48;&#125;&#110;&#94;&#50;&#32;&#43;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#56;&#125;&#123;&#53;&#125;&#110;&#32;&#43;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"180\" style=\"vertical-align: -12px;\"\/><\/p>\n<ul>\n<li style=\"text-align: justify\">Question 3<\/li>\n<\/ul>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c9c3a48df55039527bedaaa7bfc62115_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#51;&#32;&#61;&#32;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-741797bc0d9b221f7af96203fb832a99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#32;&#61;&#32;&#49;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"59\" style=\"vertical-align: -3px;\"\/> et pour un r\u00e9el <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e76df55d1bca1075faf1b25752ef1607_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#32;&#61;&#32;&#97;&#117;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"88\" style=\"vertical-align: -5px;\"\/>, pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7817e5e461ed4c2c17f0539be8dad1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>.<\/p>\n<p style=\"text-align: justify\">D&rsquo;apr\u00e8s la relation <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9ad258eb90b3a72e81e02e9ad68f39a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#61;&#97;&#117;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"88\" style=\"vertical-align: -5px;\"\/> et prenant successivement <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6f852454e2c6c16d005bca006d38cbc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3d48be04aadb63e5661f86d0948d7553_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"\/> puis <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-85761a607075b960ff00638d721cfe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#61;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"\/>, on obtient:<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-64c1f9136e538a199649fd2b60d86013_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#61;&#97;&#117;&#95;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"67\" style=\"vertical-align: -3px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1a4969bc6d380f1c8f278e21506f798f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#53;&#61;&#97;&#117;&#95;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"67\" style=\"vertical-align: -3px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6d4c4ab7c5f57f53a6d04d55b6c30a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#52;&#61;&#97;&#117;&#95;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"67\" style=\"vertical-align: -3px;\"\/><\/p>\n<p style=\"text-align: justify\">Ce qui donne <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-351e4fdeed2320e5fe0d564c94ad141a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#61;&#97;&#94;&#51;&#117;&#95;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"76\" style=\"vertical-align: -3px;\"\/>. Avec <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3fe8d2a0ea7e1fa458d7d2cfde9e0c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#61;&#49;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"59\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0b22217aaf4c6b3d367d6d66b0c32425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#51;&#61;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -3px;\"\/>, on obtient <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-21f79205cb3504b79780561ba36860c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#51;&#61;&#45;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"64\" style=\"vertical-align: 0px;\"\/>. D&rsquo;o\u00f9 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d1971c14f3e866854b5cbd5238ed3c5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#61;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"55\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p style=\"text-align: justify\">Pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5fb16d53ec4b416f38dfd5ad52f4a50e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#44;&#92;&#32;&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#61;&#45;&#50;&#117;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"160\" style=\"vertical-align: -5px;\"\/><\/p>\n<ul>\n<li style=\"text-align: justify\">Question 4<\/li>\n<\/ul>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e148112fb1c253dc20cb3d12e13434_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#50;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"52\" style=\"vertical-align: -12px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1726b34229661b62c8bd86d9071afaf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"61\" style=\"vertical-align: -12px;\"\/>.<\/p>\n<p style=\"text-align: justify\">On peut proposer un mod\u00e8le lin\u00e9aire comme dans la question <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\"\/> ou le mod\u00e8le dans la question 3. Mais, en \u00e9crivant <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f818dc1e3a925df67e2eb2e43c15a2ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#50;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"60\" style=\"vertical-align: -12px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6b192e3ac4cdde475ac1e8289b3f6cae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#54;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#54;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"60\" style=\"vertical-align: -12px;\"\/>, on peut proposer la suite de terme g\u00e9n\u00e9ral <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cd360611fb55456fdddbcc6be230b8eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#110;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"64\" style=\"vertical-align: -12px;\"\/>. On peut alors proposer la suite: pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7817e5e461ed4c2c17f0539be8dad1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1fdab9194b8b598f301213262623f659_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#110;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"64\" style=\"vertical-align: -12px;\"\/>.<\/p>\n<h2 style=\"text-align: justify\">Exercice 2 Suites num\u00e9riques premi\u00e8re :<\/h2>\n<p style=\"text-align: justify\">Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e45f143bc855c1f086acea254e1eddb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#120;&#41;&#61;&#45;&#120;&#94;&#50;&#43;&#51;&#120;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 1.a<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Calculer les racines de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question1.b<\/li>\n<\/ul>\n<p style=\"text-align: justify\">D\u00e9montrer que pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-78cec2082a60859d58f2d0d8a1f42de5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#60;&#120;&#60;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"73\" style=\"vertical-align: -2px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7e60b96b6f6e1f0da8316a330fe3fd52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#120;&#41;&#62;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<h2 style=\"text-align: justify\">Corrig\u00e9 de l&rsquo;exercice 2 sur les suites num\u00e9riques<\/h2>\n<ul>\n<li style=\"text-align: justify\">Question 1.a<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Le polyn\u00f4me <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> est du second degr\u00e9 de la forme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f7dfafe787a9309542e1e1063e6056ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#120;&#94;&#50;&#43;&#98;&#120;&#43;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\"\/>. Son discriminant <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d9d177f703f490fc47b16061dc480e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#61;&#57;&#45;&#56;&#61;&#49;&#62;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"143\" style=\"vertical-align: -2px;\"\/>, donc on a deux racines :<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-44884407c1525b6c753ee34901029e5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#49;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#98;&#43;&#92;&#115;&#113;&#114;&#116;&#123;&#92;&#68;&#101;&#108;&#116;&#97;&#125;&#125;&#123;&#50;&#97;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"116\" style=\"vertical-align: -12px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-649e8d026135366e3cc3c3a2d44e2848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#43;&#49;&#125;&#123;&#45;&#50;&#125;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"107\" style=\"vertical-align: -12px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-464569b4bfb28f1d45ed01260047abfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#50;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#98;&#45;&#92;&#115;&#113;&#114;&#116;&#123;&#92;&#68;&#101;&#108;&#116;&#97;&#125;&#125;&#123;&#50;&#97;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"116\" style=\"vertical-align: -12px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a0f662d9ed6a741faf42aa47fd52ae3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#45;&#49;&#125;&#123;&#45;&#50;&#125;&#61;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"107\" style=\"vertical-align: -12px;\"\/><\/p>\n<p style=\"text-align: justify\">Les racines de P sont donc 1 et 2.<\/p>\n<ul>\n<li style=\"text-align: justify\">Questions 1.b<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Le polyn\u00f4me <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> est du second degr\u00e9.<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> est positif sur ]1;2[<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> est n\u00e9gatif sur ]<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-46ff86acf9d540b0b8101bd9737e8e5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#105;&#110;&#102;&#116;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"30\" style=\"vertical-align: 0px;\"\/>;1[<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4f8eeee53de74b0c680cf3bb5952f893_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#99;&#117;&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -1px;\"\/>]2;<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a043fc7cc21133d8c1d8fdcb8fbbe8eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#43;&#92;&#105;&#110;&#102;&#116;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: -2px;\"\/>[<\/p>\n<p style=\"text-align: justify\">Ce qui montre que pour <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7dec49899551014fa3dc438c14eeb3ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#60;&#120;&#60;&#50;&#44;&#32;&#80;&#40;&#120;&#41;&#62;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<h2 style=\"text-align: justify\">Suites num\u00e9riques 1\u00e8re : exercice 3<\/h2>\n<p style=\"text-align: justify\">Dire si l&rsquo;affirmation est Vraie ou Fausse. D\u00e9montrer votre r\u00e9ponse.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 1 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Si la suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> est born\u00e9e, alors elle est monotone.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 2 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"\/> une fonction d\u00e9finie sur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-93cbed64f099b7d39868d5e0832267dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#091;&#48;&#59;&#43;&#92;&#105;&#110;&#102;&#116;&#121;&#091;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"57\" style=\"vertical-align: -5px;\"\/>. Si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"\/> est d\u00e9croissante sur cet intervalle, alors la suite de terme g\u00e9n\u00e9ral <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2d02b67d159cf93ed7680ff71c9b51de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#61;&#102;&#40;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"78\" style=\"vertical-align: -5px;\"\/> et d\u00e9croissante pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7817e5e461ed4c2c17f0539be8dad1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 3 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Si les termes d&rsquo;une suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> v\u00e9rifient pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-588616762f1acc1b153991dd6fa4f83c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-03f94c0aa13d991b61ce29b58decc40e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#61;&#45;&#117;&#95;&#110;&#43;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -5px;\"\/>, alors elle est d\u00e9croissante quel que soit la valeur de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fce4ef575cb9dacb190c93ae8d286cdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"\/>.<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"127774\" class=\"elementor elementor-127774\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-5a7b6a2a elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"5a7b6a2a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-749af387 ae-bg-gallery-type-default\" data-id=\"749af387\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b4ed465 elementor-widget elementor-widget-heading\" data-id=\"1b4ed465\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS PARTICULIERS EN LIGNE<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16d47760 elementor-widget elementor-widget-heading\" data-id=\"16d47760\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Nous avons s\u00e9lectionn\u00e9 pour vous les meilleurs professeurs particuliers.<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21a162bf elementor-widget elementor-widget-heading\" data-id=\"21a162bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">POUR ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5600477e elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"5600477e\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-en-ligne\/toutes-matieres\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers en ligne<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c7a7876 elementor-widget elementor-widget-text-editor\" data-id=\"1c7a7876\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><b>Avis Google France <\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2aa12288 ae-bg-gallery-type-default\" data-id=\"2aa12288\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify\">Correction de l&rsquo;exercice 3 sur les suites num\u00e9riques<\/h2>\n<ul>\n<li style=\"text-align: justify\">Question 1 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Contre-exemple :<\/p>\n<p style=\"text-align: justify\">Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> la suite d\u00e9finie par son terme g\u00e9n\u00e9ral <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2a261acb980322b74a7b01093495f987_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#61;&#40;&#45;&#49;&#41;&#94;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -5px;\"\/>. Pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7817e5e461ed4c2c17f0539be8dad1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bf71642c273639b672a964327dddd2de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#49;&#92;&#108;&#101;&#113;&#32;&#117;&#95;&#110;&#92;&#108;&#101;&#113;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"96\" style=\"vertical-align: -3px;\"\/>. Donc, la suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> est born\u00e9e. Mais: <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e2154ac1ac8ac2885c9eb5cb491fa083_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#45;&#117;&#95;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"77\" style=\"vertical-align: -5px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c6b64ba75bd485c82d3a20f81e541c12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#40;&#45;&#49;&#41;&#94;&#123;&#110;&#43;&#49;&#125;&#45;&#40;&#45;&#49;&#41;&#94;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"149\" style=\"vertical-align: -5px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-92aaee6a7a692cced0d5affe40e20764_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#40;&#45;&#49;&#41;&#40;&#45;&#49;&#41;&#94;&#110;&#45;&#40;&#45;&#49;&#41;&#94;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"\/><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7d4b1a085c96ee15239d573229dcf2b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#61;&#45;&#50;&#40;&#45;&#49;&#41;&#94;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -5px;\"\/> Ce qui n&rsquo;a pas de signe constant.Donc, la suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> est born\u00e9e mais n&rsquo;est pas monotone.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 2 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"\/> une fonction d\u00e9finie et d\u00e9croissante sur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-93cbed64f099b7d39868d5e0832267dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#091;&#48;&#59;&#43;&#92;&#105;&#110;&#102;&#116;&#121;&#091;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"57\" style=\"vertical-align: -5px;\"\/>, alors pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3813cbacc374e9e1503aee0320a04454_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#49;&#44;&#32;&#120;&#95;&#50;&#32;&#92;&#105;&#110;&#32;&#091;&#48;&#59;&#43;&#92;&#105;&#110;&#102;&#116;&#121;&#091;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"124\" style=\"vertical-align: -5px;\"\/> on a: <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c8ba5d22f3b07da21c1c5a31666492cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#50;&#32;&#92;&#103;&#101;&#32;&#120;&#95;&#49;&#32;&#92;&#82;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#32;&#102;&#40;&#120;&#95;&#50;&#41;&#32;&#92;&#108;&#101;&#113;&#32;&#102;&#40;&#120;&#95;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"\/>. Donc pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7817e5e461ed4c2c17f0539be8dad1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/> : <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-06b90d609c6b29c7cd5aa1b6e93c97ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#40;&#110;&#41;&#32;&#92;&#108;&#101;&#32;&#102;&#40;&#110;&#43;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"\/>, ce qui nous permet de dire que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e39461c6aa8b1a8494d12bef1b46ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#110;&#32;&#92;&#108;&#101;&#32;&#117;&#95;&#123;&#110;&#43;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"78\" style=\"vertical-align: -5px;\"\/>. Donc, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> est d\u00e9croissante.<\/p>\n<ul>\n<li style=\"text-align: justify\">Question 3 :<\/li>\n<\/ul>\n<p style=\"text-align: justify\">Contre-exemple :<\/p>\n<p style=\"text-align: justify\">Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> la suite d\u00e9finie par son premier terme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f87abf5c4a141168a24a27148cb574b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#48;&#61;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -3px;\"\/> et pour tout <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7817e5e461ed4c2c17f0539be8dad1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ea079bfc64c5e94e8dc9ba0ff7926dbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#123;&#110;&#43;&#49;&#125;&#61;&#45;&#117;&#95;&#110;&#43;&#117;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"132\" style=\"vertical-align: -5px;\"\/>. Alors, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b5908d68c6ac9d84dd35d4e6490054ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#95;&#49;&#45;&#117;&#95;&#48;&#61;&#45;&#117;&#95;&#48;&#43;&#110;&#45;&#117;&#95;&#48;&#61;&#45;&#50;&#117;&#95;&#48;&#43;&#48;&#61;&#50;&#62;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"344\" style=\"vertical-align: -3px;\"\/>. Donc la suite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-182578a146e80cc620a67c5aba685c63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#117;&#95;&#110;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"31\" style=\"vertical-align: -4px;\"\/> ne peut pas \u00eatre d\u00e9croissante.<\/p>\n<p style=\"text-align: justify\">La suite des<strong> exercices sur les suites num\u00e9riques en premi\u00e8re<\/strong> est sur notre application mobile PrepApp. Les \u00e9l\u00e8ves peuvent aussi prendre des cours particuliers de maths pour un entra\u00eenement plus approfondi pour leur contr\u00f4le sur les suites num\u00e9riques en premi\u00e8re.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Exercices corrig\u00e9s : suites num\u00e9riques en premi\u00e8re R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne de Maths en Premi\u00e8re Ces exercices sur les suites num\u00e9riques en 1\u00e8re permettent aux \u00e9l\u00e8ves de mettre en application le cours en ligne de maths en premi\u00e8re sur les suites afin de v\u00e9rifier qu&rsquo;ils l&rsquo;ont bien compris. D&rsquo;autres exercices [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Suites num\u00e9riques en premi\u00e8re : exercices et corrig\u00e9s en ligne<\/title>\n<meta name=\"description\" content=\"Suites num\u00e9riques en premi\u00e8re : exercices et corrig\u00e9s sur les suites num\u00e9riques en premi\u00e8re, r\u00e9ussir les suites num\u00e9riques en 1\u00e8re.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Suites num\u00e9riques en premi\u00e8re : exercices et corrig\u00e9s en ligne\" \/>\n<meta property=\"og:description\" content=\"Suites num\u00e9riques en premi\u00e8re : exercices et corrig\u00e9s sur les suites num\u00e9riques en premi\u00e8re, r\u00e9ussir les suites num\u00e9riques en 1\u00e8re.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2024-04-23T12:12:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png\" \/>\n\t<meta property=\"og:image:width\" content=\"170\" \/>\n\t<meta property=\"og:image:height\" content=\"180\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/\",\"name\":\"Suites num\u00e9riques en premi\u00e8re : exercices et corrig\u00e9s en ligne\",\"isPartOf\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\"},\"datePublished\":\"2020-12-15T13:13:55+00:00\",\"dateModified\":\"2024-04-23T12:12:16+00:00\",\"description\":\"Suites num\u00e9riques en premi\u00e8re : exercices et corrig\u00e9s sur les suites num\u00e9riques en premi\u00e8re, r\u00e9ussir les suites num\u00e9riques en 1\u00e8re.\",\"breadcrumb\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-suites-numeriques-premiere\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/groupe-reussite.fr\/ressources\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exercices sur les suites num\u00e9riques en premi\u00e8re\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/\",\"name\":\"Groupe R\u00e9ussite - 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