{"id":7605,"date":"2020-05-09T22:16:30","date_gmt":"2020-05-09T21:16:30","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=7605"},"modified":"2020-05-09T22:20:23","modified_gmt":"2020-05-09T21:20:23","slug":"suites-geometriques-correction-exo-10_5","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=7605","title":{"rendered":"Suites g\u00e9om\u00e9triques correction exo 10_5"},"content":{"rendered":"

Puisque \\(u_{10}=u_{1} \\times q^{9}\\), on d\u00e9duit \\(q^{9}=\\dfrac{u_{10}}{u_{1}}=\\dfrac{1}{-1}=-1\\),<\/p>\n

On en d\u00e9duit, commel’exposant de \\(q\\) est impair, que \\(q=-1\\)<\/p>\n

Ainsi, pour tout \\(n \\in \\mathbb{N}, u_{n}=u_{1} \\times q^{n-1}=(-1) \\times(-1)^{n-1}=(-1)^{n} \\)<\/p>\n

On en d\u00e9duit successivement \\({u_{0}=1}\\) et \\({u_{5}=-1}\\)<\/p>\n

 <\/p>\n

Retour page suites g\u00e9om\u00e9triques<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"

Puisque \\(u_{10}=u_{1} \\times q^{9}\\), on d\u00e9duit \\(q^{9}=\\dfrac{u_{10}}{u_{1}}=\\dfrac{1}{-1}=-1\\), On en d\u00e9duit, commel’exposant de \\(q\\) est impair, que \\(q=-1\\) Ainsi, pour tout \\(n \\in \\mathbb{N}, u_{n}=u_{1} \\times q^{n-1}=(-1) \\times(-1)^{n-1}=(-1)^{n} \\) On en d\u00e9duit successivement \\({u_{0}=1}\\) et \\({u_{5}=-1}\\)   Retour page suites g\u00e9om\u00e9triques<\/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-7605","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7605","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=7605"}],"version-history":[{"count":4,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7605\/revisions"}],"predecessor-version":[{"id":7609,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7605\/revisions\/7609"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}