{"id":9596,"date":"2012-09-30T15:19:27","date_gmt":"2012-09-30T14:19:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=9596"},"modified":"2022-01-19T23:42:20","modified_gmt":"2022-01-19T23:42:20","slug":"completa-as-sequencias","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=9596","title":{"rendered":"Completa as sequ\u00eancias"},"content":{"rendered":"<p><ul id='GTTabs_ul_9596' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_9596' class='GTTabs_curr'><a  id=\"9596_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_9596' ><a  id=\"9596_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_9596'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Completa as sequ\u00eancias seguintes:<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"9599\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9599\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias.jpg\" data-orig-size=\"500,305\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1349014864&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Sequ\u00eancias\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias.jpg\" class=\"aligncenter  wp-image-9599\" title=\"Sequ\u00eancias\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias.jpg\" alt=\"\" width=\"300\" height=\"183\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias.jpg 500w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-300x183.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-150x91.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-400x244.jpg 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_9596' onClick='GTTabs_show(1,9596)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_9596'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"9600\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9600\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol.jpg\" data-orig-size=\"496,310\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1349014909&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Sequ\u00eancias\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol.jpg\" class=\"aligncenter  wp-image-9600\" title=\"Sequ\u00eancias\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol.jpg\" alt=\"\" width=\"298\" height=\"186\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol.jpg 496w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol-300x187.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol-150x93.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/sequencias-sol-400x249.jpg 400w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\" \/><\/a>\u00ad<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Os termos da sequ\u00eancia s\u00e3o alternadamente negativos e positivos. Da\u00ed, \u00e9 de crer que o termo seguinte se obtenha do termo anterior pela multiplica\u00e7\u00e3o por um n\u00famero negativo, que, neste caso, \u00e9 $ &#8211; 2$:<br \/>\n$$\\begin{array}{*{20}{l}} { &#8211; 3 \\times \\left( { &#8211; 2} \\right) = 6}&amp;{}&amp;{6 \\times \\left( { &#8211; 2} \\right) =\u00a0 &#8211; 12}&amp;{}&amp;{ &#8211; 12 \\times \\left( { &#8211; 2} \\right) = 24}&amp;{}&amp;{24 \\times \\left( { &#8211; 2} \\right) =\u00a0 &#8211; 48}&amp;{}&amp;{ &#8211; 48 \\times \\left( { &#8211; 2} \\right) = 96}&amp;{}&amp;{96 \\times \\left( { &#8211; 2} \\right) =\u00a0 &#8211; 192} \\end{array}$$<br \/>\n\u00ad<\/li>\n<li>O\u00a02.\u00ba termo \u00e9 <span style=\"color: #0000ff;\">$3$<\/span> unidades superior ao 1.\u00ba termo e o 3.\u00ba termo \u00e9 <span style=\"color: #0000ff;\">$5$<\/span> unidades superior ao 2.\u00ba termo. Por isso, \u00e9 de crer que o 4.\u00ba termo seja <span style=\"color: #0000ff;\">$7$<\/span> unidades superior ao 3.\u00ba termo e assim sucessivamente:<br \/>\n$$\\begin{array}{*{20}{l}} {4 + 3 = 7}&amp;{}&amp;{7 + 5 = 12}&amp;{}&amp;{12 + 7 = 19}&amp;{}&amp;{19 + 9 = 28} \\end{array}$$<br \/>\n\u00ad<\/li>\n<li>O 2.\u00ba termo \u00e9 duplo do 1.\u00ba termo e o 3.\u00ba termo \u00e9 duplo do 2.\u00ba termo. Logo, \u00e9 de crer que o termo seguinte seja duplo do termo anterior:<br \/>\n$$\\begin{array}{*{20}{l}} {2 \\times 2 = 4}&amp;{}&amp;{4 \\times 2 = 8}&amp;{}&amp;{8 \\times 2 = 16}&amp;{}&amp;{16 \\times 2 = 32} \\end{array}$$<br \/>\n\u00ad<\/li>\n<li>O 2.\u00ba termo \u00e9 $4$ unidade inferior ao 1.\u00ba termo e o 3.\u00ba termo \u00e9 tamb\u00e9m $4$ unidades inferior ao 2.\u00ba termo. Por isso, \u00e9 de crer que esta regra se mantenha:<br \/>\n$$\\begin{array}{*{20}{l}} {6 &#8211; 4 = 2}&amp;{}&amp;{2 &#8211; 4 =\u00a0 &#8211; 2}&amp;{}&amp;{ &#8211; 2 &#8211; 4 =\u00a0 &#8211; 6}&amp;{}&amp;{ &#8211; 6 &#8211; 4 =\u00a0 &#8211; 10}&amp;{}&amp;{ &#8211; 10 &#8211; 4 =\u00a0 &#8211; 14} \\end{array}$$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_9596' onClick='GTTabs_show(0,9596)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Completa as sequ\u00eancias seguintes: Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20702,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,320,319],"series":[],"class_list":["post-9596","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-multiplicacao","tag-numeros-inteiros-2"],"views":1718,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/09\/7V1Pag014-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9596","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=9596"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9596\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20702"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9596"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=9596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}