{"id":3075,"date":"2020-09-03T08:07:24","date_gmt":"2020-09-03T06:07:24","guid":{"rendered":"http:\/\/jhmaths.fr\/?page_id=3075"},"modified":"2021-09-06T08:30:18","modified_gmt":"2021-09-06T06:30:18","slug":"suites-numeriques","status":"publish","type":"page","link":"https:\/\/jhmaths.fr\/index.php\/terminale-technologique\/suites-numeriques\/","title":{"rendered":"Suites num\u00e9riques"},"content":{"rendered":"<p>[vc_row][vc_column][vc_column_text css_animation=\u00a0\u00bbnone\u00a0\u00bb el_class=\u00a0\u00bbchose\u00a0\u00bb]<\/p>\n<h1>Suites num\u00e9riques<\/h1>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbproprietepremieresthr propriete\u00a0\u00bb]<\/p>\n<div>\n<p>Une suite num\u00e9rique s&rsquo;\u00e9crit \\(u(n)\\). Ce nombre s&rsquo;appelle le terme, et \\(n\\) s&rsquo;appelle le rang.<\/p>\n<p>On peut exprimer\u00a0 :<\/p>\n<ul>\n<li>\\(u(n)\\) en fonction de \\(n\\) (par ex \\(u(n) = 3n-2 \\) )<\/li>\n<li>ou \\(u(n+1)\\) en fonction de \\(u(n)\\) (par ex \\(u(n+1) = 5 u(n) \\) )<\/li>\n<\/ul>\n<\/div>\n<p>[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<div style=\"text-align: center;\">\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/HacflVQ7DIE\" width=\"320\" height=\"180\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]<\/p>\n<h2>Quizz<\/h2>\n<p><div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-15\" class=\"h5p-iframe\" data-content-id=\"15\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"TST2S - Calculer les termes d&#039;une suite\"><\/iframe><\/div>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=\u00a0\u00bb.vc_custom_1569322954473{margin-top: 20px !important;}\u00a0\u00bb]<\/p>\n<h3>Suites arithm\u00e9tiques et g\u00e9om\u00e9triques<\/h3>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbpropriete proprietepremieresthr\u00a0\u00bb]Suite arithm\u00e9tique : on ajoute toujours le m\u00eame nombre :<br \/>\n\\(u(n+1)=u(n)+r\\)<\/p>\n<p>En fonction de \\(n\\) :<\/p>\n<p>$$u(n)=u(0)+n\\times r$$[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbpropriete proprietepremieresthr\u00a0\u00bb]Suite g\u00e9om\u00e9trique : on multiplie toujours par le m\u00eame nombre :<br \/>\n\\(u(n+1)=u(n) \\times q\\)<\/p>\n<p>En fonction de \\(n\\) :<\/p>\n<p>$$ u(n)=u(0) \\times q^n$$[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<div style=\"text-align: center;\">\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/pHq6oClOylU\" width=\"320\" height=\"180\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<p>[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<h2>Quizz<\/h2>\n<p><div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-16\" class=\"h5p-iframe\" data-content-id=\"16\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"TST2S - Suites arithm\u00e9tiques et g\u00e9om\u00e9triques\"><\/iframe><\/div>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=\u00a0\u00bb.vc_custom_1599121350820{margin-top: 20px !important;}\u00a0\u00bb]<\/p>\n<h3>Somme des termes<\/h3>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbpropriete proprietepremieresthr\u00a0\u00bb]Suite g\u00e9om\u00e9trique :<\/p>\n<p>\\[\\displaystyle \\Sigma u=\\text{Premier terme} \\times \\frac{1-q^{\\text{nombre de termes}}}{1-q} \\]<\/p>\n<p>Suite arithm\u00e9tique :<\/p>\n<p>\\[\\displaystyle \\Sigma u=\\text{(Nombre de termes)} \\times \\text{(Moyenne du premier et dernier terme)} \\][\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]<\/p>\n<h2>Plans de travail<\/h2>\n<p>[\/vc_column_text][vc_single_image source=\u00a0\u00bbexternal_link\u00a0\u00bb onclick=\u00a0\u00bbimg_link_large\u00a0\u00bb img_link_target=\u00a0\u00bb_blank\u00a0\u00bb custom_src=\u00a0\u00bbhttps:\/\/docs.google.com\/drawings\/d\/e\/2PACX-1vTvdSarDhm6Hs4GdYrO9wsf6neekDQ18N-KKq_7dkGfDbwYR6RPutp2nW6WxMNVvvQ-lol4nSpRBNvS\/pub?w=960&amp;h=720&Prime;][vc_single_image source=\u00a0\u00bbexternal_link\u00a0\u00bb onclick=\u00a0\u00bbimg_link_large\u00a0\u00bb img_link_target=\u00a0\u00bb_blank\u00a0\u00bb custom_src=\u00a0\u00bbhttps:\/\/docs.google.com\/drawings\/d\/e\/2PACX-1vTe7uw5jHy3Vb3hs31of2Tyt_XkD3M3a9ZvMmMIB_Yvr0oFuR_KoEl7pcIG_B-MneizH4_NaJhwBnqN\/pub?w=960&amp;h=720&Prime;][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text css_animation=\u00a0\u00bbnone\u00a0\u00bb el_class=\u00a0\u00bbchose\u00a0\u00bb] Suites num\u00e9riques [\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbproprietepremieresthr propriete\u00a0\u00bb] Une suite num\u00e9rique s&rsquo;\u00e9crit \\(u(n)\\). Ce nombre s&rsquo;appelle le terme, et \\(n\\) s&rsquo;appelle le rang. On peut exprimer\u00a0 : \\(u(n)\\) en fonction de \\(n\\) (par ex \\(u(n) = 3n-2 \\) ) ou \\(u(n+1)\\) en fonction de \\(u(n)\\) (par ex \\(u(n+1) = 5 u(n) \\) ) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3063,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-3075","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3075","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3075"}],"version-history":[{"count":15,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3075\/revisions"}],"predecessor-version":[{"id":3405,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3075\/revisions\/3405"}],"up":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3063"}],"wp:attachment":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3075"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/folder?post=3075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}