{"id":7416,"date":"2020-05-09T09:24:14","date_gmt":"2020-05-09T08:24:14","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=7416"},"modified":"2020-05-09T09:26:22","modified_gmt":"2020-05-09T08:26:22","slug":"suites-arithmetiques-correction-exo-1-b","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=7416","title":{"rendered":"Suites arithm\u00e9tiques correction exo 1 b"},"content":{"rendered":"<p>\\[<br \/>\n\\begin{array}{l}<br \/>\nv_{a+1}-v_{n}=(n+1)^{2}+9-\\left(n^{2}+9\\right) \\\\<br \/>\n=n^{2}+2 n+1+9-n^{2}-9 \\\\<br \/>\n=2 n+1<br \/>\n\\end{array}<br \/>\n\\]<br \/>\nLa diff\u00e9rence entre un terme et son pr\u00e9c\u00e9dent \\(2 n+1\\) ne reste pas constante car elle d\u00e9pend de \\(n\\).<br \/>\nDonc, \\((v_n\\)) n&rsquo;est pas une suite arithm\u00e9tique<\/p>\n<h2 style=\"text-align: center;\"><strong><a href=\"http:\/\/mathsguyon.fr\/?page_id=7230\">Retour page suites arithm\u00e9tiques<\/a><\/strong><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>\\[ \\begin{array}{l} v_{a+1}-v_{n}=(n+1)^{2}+9-\\left(n^{2}+9\\right) \\\\ =n^{2}+2 n+1+9-n^{2}-9 \\\\ =2 n+1 \\end{array} \\] La diff\u00e9rence entre un terme et son pr\u00e9c\u00e9dent \\(2 n+1\\) ne reste pas constante car elle d\u00e9pend de \\(n\\). Donc, \\((v_n\\)) n&rsquo;est pas une suite arithm\u00e9tique Retour page suites &hellip; <a href=\"https:\/\/mathsguyon.fr\/?page_id=7416\">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-7416","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7416","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=7416"}],"version-history":[{"count":3,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7416\/revisions"}],"predecessor-version":[{"id":7419,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7416\/revisions\/7419"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}