{"id":7596,"date":"2020-05-09T22:12:09","date_gmt":"2020-05-09T21:12:09","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=7596"},"modified":"2020-05-09T22:13:20","modified_gmt":"2020-05-09T21:13:20","slug":"suites-geometriques-correction-exo-10_4","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=7596","title":{"rendered":"Suites g\u00e9om\u00e9triques correction exo 10_4"},"content":{"rendered":"<p>Puisque \\(u_{1}=u_{0} \\times q^{2}\\},<\/p>\n<p>on d\u00e9duit \\(q^{2}=\\dfrac{u_{2}}{u_{0}}=\\dfrac{12}{3}=4\\),<\/p>\n<p>ce qui nous fournit deux solutions : \\(q=2\\) ou \\(q=-2\\)<\/p>\n<ul>\n<li>Si \\(q=2\\), \u00e0 partir de la formule \\(u_{n}=u_{0} \\times q^{n}=3 \\times 2^{n}\\),<\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">on d\u00e9duit successivement \\({u_{1}=6}\\) et \\(u_{5}=96\\).<\/p>\n<ul>\n<li>Si \\(q=-2\\),\u00a0 \u00e0 partir de la formule \\(u_{n}=u_{0} \\times q^{n}=3 \\times (-2)^{n}\\)<\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">on d\u00e9duit successivement \\({u_{1}=-6}\\) et \\(u_{5}=-96\\).<\/p>\n<h2 style=\"text-align: center;\"><a href=\"http:\/\/mathsguyon.fr\/?page_id=7230\">Retour page suites g\u00e9om\u00e9triques<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Puisque \\(u_{1}=u_{0} \\times q^{2}\\}, on d\u00e9duit \\(q^{2}=\\dfrac{u_{2}}{u_{0}}=\\dfrac{12}{3}=4\\), ce qui nous fournit deux solutions : \\(q=2\\) ou \\(q=-2\\) Si \\(q=2\\), \u00e0 partir de la formule \\(u_{n}=u_{0} \\times q^{n}=3 \\times 2^{n}\\), on d\u00e9duit successivement \\({u_{1}=6}\\) et \\(u_{5}=96\\). Si \\(q=-2\\),\u00a0 \u00e0 partir de &hellip; <a href=\"https:\/\/mathsguyon.fr\/?page_id=7596\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-7596","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7596"}],"version-history":[{"count":3,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7596\/revisions"}],"predecessor-version":[{"id":7600,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7596\/revisions\/7600"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}