{"id":11884,"date":"2014-05-22T15:07:38","date_gmt":"2014-05-22T14:07:38","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11884"},"modified":"2022-01-13T01:40:46","modified_gmt":"2022-01-13T01:40:46","slug":"estude-a-monotonia-da-seguinte-sucessao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11884","title":{"rendered":"Estude a monotonia da seguinte sucess\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_11884' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11884' class='GTTabs_curr'><a  id=\"11884_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11884' ><a  id=\"11884_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_11884'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Estude a monotonia da sucess\u00e3o definida por recorr\u00eancia:<\/p>\n<p>\\[\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{{b_1} = 1} \\\\<br \/>\n{{b_n} = 1 &#8211; {b_{n &#8211; 1}},n \\geqslant 2}<br \/>\n\\end{array}} \\right.\\]<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11884' onClick='GTTabs_show(1,11884)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11884'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Estude a monotonia da sucess\u00e3o definida por recorr\u00eancia:<\/p>\n<p>\\[\\left\\{ {\\begin{array}{*{20}{l}}<br \/>\n{{b_1} = 1} \\\\<br \/>\n{{b_n} = 1 &#8211; {b_{n &#8211; 1}},n \\geqslant 2}<br \/>\n\\end{array}} \\right.\\]<\/p>\n<\/blockquote>\n<p>\u00ad<\/p>\n<p>Comecemos por calcular os tr\u00eas primeiros termos da sucess\u00e3o: \\[\\begin{array}{*{20}{l}}<br \/>\n{{b_1} = 1}&amp;{}&amp;{{b_2} = 1 &#8211; {b_1} = 1 &#8211; 1 = 0}&amp;{}&amp;{{b_3} = 1 &#8211; {b_2} = 1 &#8211; 0 = 1}<br \/>\n\\end{array}\\]<\/p>\n<p>Como ${b_1} &gt; {b_2} &lt; {b_3}$, conclui-se que a sucess\u00e3o n\u00e3o \u00e9 mon\u00f3tona.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11884' onClick='GTTabs_show(0,11884)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Estude a monotonia da sucess\u00e3o definida por recorr\u00eancia: \\[\\left\\{ {\\begin{array}{*{20}{l}} {{b_1} = 1} \\\\ {{b_n} = 1 &#8211; {b_{n &#8211; 1}},n \\geqslant 2} \\end{array}} \\right.\\] Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19188,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,372],"tags":[422,294,431],"series":[],"class_list":["post-11884","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-sucessoes-reais","tag-11-o-ano","tag-monotonia","tag-sucessoes-reais"],"views":2469,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat74.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11884","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11884"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11884\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19188"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11884"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11884"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11884"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11884"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}