{"id":1760684,"date":"2026-05-31T14:43:00","date_gmt":"2026-05-31T17:43:00","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=1760684"},"modified":"2026-06-11T09:07:23","modified_gmt":"2026-06-11T12:07:23","slug":"progressao-geometrica","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/progressao-geometrica\/","title":{"rendered":"Progress\u00e3o Geom\u00e9trica"},"content":{"rendered":"\n<p class=\"has-medium-font-size wp-block-paragraph\">Aprenda os conceitos essenciais sobre progress\u00e3o geom\u00e9trica com um resumo para as principais provas de concursos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ol\u00e1, pessoal! Tudo bem com voc\u00eas?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A <strong>Progress\u00e3o Geom\u00e9trica (PG)<\/strong> \u00e9 um dos conte\u00fados mais importantes de <strong>sequ\u00eancias num\u00e9ricas<\/strong> e aparece frequentemente em provas de concursos p\u00fablicos, vestibulares e exames militares. Esse tema costuma ser explorado em quest\u00f5es envolvendo <strong>crescimento exponencial, juros compostos, duplica\u00e7\u00f5es sucessivas e interpreta\u00e7\u00e3o de padr\u00f5es num\u00e9ricos<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Em provas de bancas como <strong><a href=\"https:\/\/conhecimento.fgv.br\/concursos\" target=\"_blank\" rel=\"noreferrer noopener\">FGV<\/a>, <a href=\"https:\/\/www.concursosfcc.com.br\/\" target=\"_blank\" rel=\"noreferrer noopener\">FCC<\/a><\/strong> e <a href=\"https:\/\/www.cebraspe.org.br\/concursos\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Cebraspe<\/strong><\/a>, \u00e9 comum encontrar quest\u00f5es em que o candidato precisa identificar rapidamente uma multiplica\u00e7\u00e3o constante entre os termos da sequ\u00eancia, al\u00e9m de aplicar f\u00f3rmulas relacionadas ao termo geral e \u00e0 soma dos termos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Neste artigo, voc\u00ea vai entender o conceito de Progress\u00e3o Geom\u00e9trica, conhecer seus principais tipos e aprender a resolver quest\u00f5es t\u00edpicas de prova com seguran\u00e7a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Confira os t\u00f3picos que ser\u00e3o abordados:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>O que \u00e9 a progress\u00e3o geom\u00e9trica;<\/li>\n\n\n\n<li>Tipos de progress\u00e3o geom\u00e9trica;<\/li>\n\n\n\n<li>Termo geral;<\/li>\n\n\n\n<li>Propriedades;<\/li>\n\n\n\n<li>Soma dos termos;<\/li>\n\n\n\n<li>Exemplos resolvidos;<\/li>\n\n\n\n<li>Resumo.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-o-que-e-progressao-geometrica\">O Que \u00e9 Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Uma Progress\u00e3o Geom\u00e9trica (PG) \u00e9 uma sequ\u00eancia num\u00e9rica em que cada termo \u00e9 obtido multiplicando o termo anterior por uma constante chamada <strong>raz\u00e3o<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A raz\u00e3o da PG normalmente \u00e9 representada pela letra <strong>q<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">2, 6, 18, 54&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Observe que:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 \u00f7 2 = 3<\/li>\n\n\n\n<li>18 \u00f7 6 = 3<\/li>\n\n\n\n<li>54 \u00f7 18 = 3<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Logo:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>q = 3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se cada termo \u00e9 obtido multiplicando o anterior por um mesmo valor, provavelmente \u00e9 uma PG.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-estrutura-geral\"><strong>Estrutura geral<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uma PG pode ser representada por:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>a\u2081, a\u2082, a\u2083, a\u2084&#8230;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Onde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a\u2081 = primeiro termo;<\/li>\n\n\n\n<li>a\u2082 = segundo termo;<\/li>\n\n\n\n<li>e assim por diante.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-tipos-de-progressao-geometrica\">Tipos de Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Podemos classificar as progress\u00f5es geom\u00e9tricas em quatro tipos principais.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1) PG crescente<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ocorre quando a raz\u00e3o \u00e9 positiva (<strong>q &gt; 0<\/strong>), fazendo com que os termos aumentem progressivamente.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Exemplo: 2, 4, 8, 16&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2) PG decrescente<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ocorre quando a raz\u00e3o est\u00e1 entre 0 e 1 (<strong>0 &lt;<\/strong> <strong>q &lt; 1<\/strong>), fazendo com que os termos diminuam.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Exemplo: 81, 27, 9, 3&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3) PG constante<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ocorre quando a raz\u00e3o \u00e9 igual a 1 (<strong>q = 1<\/strong>), fazendo com que todos os termos sejam iguais.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Exemplo: 5, 5, 5, 5&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4) PG constante<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ocorre quando a raz\u00e3o \u00e9 negativa (<strong>q &lt; 0<\/strong>), fazendo com que os sinais dos termos se alternem.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Exemplo: 2, -4, 8, -16&#8230;<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-termo-geral-da-progressao-geometrica\">Termo Geral da Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">O termo geral permite encontrar qualquer termo da PG sem escrever toda a sequ\u00eancia.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>F\u00f3rmula<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>a<sub>n<\/sub> = a\u2081 \u00b7 q<sup>n\u22121<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Onde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a<sub>n<\/sub> = termo desejado (n-\u00e9simo termo);<\/li>\n\n\n\n<li>a\u2081 = primeiro termo;<\/li>\n\n\n\n<li>n = posi\u00e7\u00e3o do termo;<\/li>\n\n\n\n<li>q = raz\u00e3o.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exemplo<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Determine o 6\u00ba termo da PG: 3, 6, 12, 24&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dados:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a\u2081 = 3<\/li>\n\n\n\n<li>q = 2<\/li>\n\n\n\n<li>n = 6<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Aplicando a f\u00f3rmula do termo geral:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">a<sub>6<\/sub> = 3 \u00b7 2<sup>5<\/sup><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">a<sub>6 <\/sub>= 3 \u00b7 32 = <strong>96<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-propriedades-da-progressao-geometrica\">Propriedades da Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Veremos agora as duas principais propriedades de uma PG.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-produto-dos-termos-equidistantes\"><strong>Produto dos termos equidistantes<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Em uma PG, o produto de termos equidistantes dos extremos \u00e9 constante.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo<\/strong>: 2, 4, 8, 16, 32<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Temos:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 \u00d7 32 = 64<\/li>\n\n\n\n<li>4 \u00d7 16 = 64<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-termo-medio-geometrico\"><strong>Termo m\u00e9dio geom\u00e9trico<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">O termo central \u00e9 a m\u00e9dia geom\u00e9trica dos vizinhos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo<\/strong>: 2, 6, 18<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Temos:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6\u00b2 = 2 \u00d7 18<\/li>\n\n\n\n<li>36 = 36<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-soma-dos-termos-de-uma-progressao-geometrica\">Soma dos Termos de Uma Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A soma dos termos de uma PG pode ser calculada de duas formas poss\u00edveis, dependendo se a progress\u00e3o possui termos finitos ou infinitos (sim, \u00e9 poss\u00edvel somar infinitos termos em alguns casos).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-1-pg-finita\"><strong>1) PG finita<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>F\u00f3rmula<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"126\" height=\"57\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121554\/image-47.png\" alt=\"Soma dos termos de uma progress\u00e3o geom\u00e9trica finita\" class=\"wp-image-1760687\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Onde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>S<sub>n<\/sub> = soma dos termos;<\/li>\n\n\n\n<li>n = quantidade de termos;<\/li>\n\n\n\n<li>a\u2081 = primeiro termo;<\/li>\n\n\n\n<li>q = raz\u00e3o.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exemplo<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Calcule a soma dos termos da PG: 2, 4, 8, 16.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Resolu\u00e7\u00e3o:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a<sub>1<\/sub> = 2<\/li>\n\n\n\n<li>q = 4 \u00f7 2 = 2<\/li>\n\n\n\n<li>n = 4<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"56\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121620\/image-48.png\" alt=\"Soma dos termos de uma progress\u00e3o geom\u00e9trica finita - exemplo resolvido\" class=\"wp-image-1760688\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121620\/image-48.png 312w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121620\/image-48-300x54.png 300w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121620\/image-48-150x27.png 150w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-2-pg-infinita\"><strong>2) PG infinita<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A soma dos termos de uma PG infinita s\u00f3 pode ser calculada quando <strong>0 &lt; q &lt; 1<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>F\u00f3rmula<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"105\" height=\"57\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121718\/image-49.png\" alt=\"Soma dos termos de uma progress\u00e3o geom\u00e9trica infinita\" class=\"wp-image-1760689\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Exemplo<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Calcule: 1 + 1\/2 + 1\/4 + 1\/8 + &#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Resolu\u00e7\u00e3o:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a\u2081 = 1<\/li>\n\n\n\n<li>q = 1\/2<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"67\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121735\/image-50.png\" alt=\"Soma dos termos de uma progress\u00e3o geom\u00e9trica infinita - exemplo resolvido\" class=\"wp-image-1760690\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121735\/image-50.png 168w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121735\/image-50-150x60.png 150w\" sizes=\"auto, (max-width: 168px) 100vw, 168px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Esse tipo de quest\u00e3o aparece muito em provas mais avan\u00e7adas.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-exemplos-resolvidos-progressao-geometrica\">Exemplos Resolvidos \u2013 Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exemplo-1\"><strong>Exemplo 1<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uma bact\u00e9ria dobra sua quantidade a cada hora. Se inicialmente existem 3 bact\u00e9rias, quantas haver\u00e1 ap\u00f3s 5 horas?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Temos uma PG:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a\u2081 = 3<\/li>\n\n\n\n<li>q = 2<\/li>\n\n\n\n<li>n = 6<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Aplicando a f\u00f3rmula do termo geral:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">a<sub>6<\/sub> = 3 \u00b7 2<sup>5<\/sup><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">a<sub>6<\/sub> = 96<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, haver\u00e1 <strong>96 bact\u00e9rias<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exemplo-2\"><strong>Exemplo 2<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Calcule a soma: 1 + 3 + 9 + &#8230; + 81.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Aplicamos diretamente a f\u00f3rmula da soma da PG.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a\u2081 = 1<\/li>\n\n\n\n<li>q = 3<\/li>\n\n\n\n<li>n = 4<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"232\" height=\"55\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121846\/image-51.png\" alt=\"Exemplo 2 resolvido\" class=\"wp-image-1760692\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121846\/image-51.png 232w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121846\/image-51-150x36.png 150w\" sizes=\"auto, (max-width: 232px) 100vw, 232px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exemplo-3\"><strong>Exemplo 3<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uma pessoa inicia um treino correndo 2 km e dobra a dist\u00e2ncia a cada dia durante 5 dias. Qual foi a dist\u00e2ncia total percorrida?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Temos a PG: 2, 4, 8, 16, 32.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a\u2081 = 2<\/li>\n\n\n\n<li>q = 2<\/li>\n\n\n\n<li>n = 5<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"252\" height=\"52\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121901\/image-52.png\" alt=\"Exempplo 3 resolvido\" class=\"wp-image-1760693\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121901\/image-52.png 252w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/05\/08121901\/image-52-150x31.png 150w\" sizes=\"auto, (max-width: 252px) 100vw, 252px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, a pessoa percorreu <strong>62 km<\/strong>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-resumo-progressao-geometrica\">Resumo \u2013 Progress\u00e3o Geom\u00e9trica<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Para te ajudar a revisar os principais pontos que vimos at\u00e9 aqui sobre progress\u00e3o geom\u00e9trica, de forma r\u00e1pida e estrat\u00e9gica, preparamos um resumo:<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Conceito<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>F\u00f3rmula\/Ideia principal<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Palavras-chave<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Raz\u00e3o da PG<\/td><td class=\"has-text-align-center\" data-align=\"center\">q = a<sub>n<\/sub> \/ a<sub>n\u22121<\/sub><\/td><td class=\"has-text-align-center\" data-align=\"center\">multiplica\u00e7\u00e3o constante<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Termo geral<\/td><td class=\"has-text-align-center\" data-align=\"center\">a<sub>n<\/sub> = a\u2081 \u00b7 q<sup>n\u22121<\/sup><\/td><td class=\"has-text-align-center\" data-align=\"center\">encontrar termo distante<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Soma da PG finita<\/td><td class=\"has-text-align-center\" data-align=\"center\">Sn = a\u2081(q<sup>n<\/sup>\u22121)\/(q\u22121)<\/td><td class=\"has-text-align-center\" data-align=\"center\">soma de sequ\u00eancia<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Soma da PG infinita<\/td><td class=\"has-text-align-center\" data-align=\"center\">S = a\u2081\/(1\u2212q)<\/td><td class=\"has-text-align-center\" data-align=\"center\">aproxima\u00e7\u00e3o, infinito<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">PG crescente<\/td><td class=\"has-text-align-center\" data-align=\"center\">q &gt; 1<\/td><td class=\"has-text-align-center\" data-align=\"center\">crescimento exponencial<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">PG decrescente<\/td><td class=\"has-text-align-center\" data-align=\"center\">0 &lt; q &lt; 1<\/td><td class=\"has-text-align-center\" data-align=\"center\">redu\u00e7\u00e3o proporcional<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">PG constante<\/td><td class=\"has-text-align-center\" data-align=\"center\">q = 1<\/td><td class=\"has-text-align-center\" data-align=\"center\">Termos iguais<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">PG alternante<\/td><td class=\"has-text-align-center\" data-align=\"center\">q &lt; 0<\/td><td class=\"has-text-align-center\" data-align=\"center\">sinais alternados<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-finalizando\">Finalizando<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A Progress\u00e3o Geom\u00e9trica \u00e9 um conte\u00fado essencial para compreender fen\u00f4menos que envolvem crescimento ou redu\u00e7\u00e3o multiplicativa. O ponto central est\u00e1 em identificar a exist\u00eancia de uma raz\u00e3o constante entre os termos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Al\u00e9m de dominar as f\u00f3rmulas, \u00e9 fundamental desenvolver a capacidade de reconhecer situa\u00e7\u00f5es pr\u00e1ticas em que a PG aparece disfar\u00e7ada, como em juros compostos, crescimento populacional e duplica\u00e7\u00f5es sucessivas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Com <strong>pr\u00e1tica<\/strong>, o reconhecimento desses padr\u00f5es se torna mais r\u00e1pido e natural, permitindo resolver quest\u00f5es com mais precis\u00e3o e efici\u00eancia. Dominar Progress\u00e3o Geom\u00e9trica \u00e9 um passo importante para fortalecer a base matem\u00e1tica e melhorar o desempenho em provas de concursos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c9 importante refor\u00e7ar que este conte\u00fado <strong>deve ser utilizado como complemento ao material em PDF<\/strong>, onde a abordagem \u00e9 aprofundada e completa. Al\u00e9m disso, \u00e9 fundamental praticar com muitas quest\u00f5es, preferencialmente separadas por banca, para entender as diferentes formas de cobran\u00e7a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quer se aprofundar no tema? O Estrat\u00e9gia Concursos disponibiliza <strong>materiais em PDF completos e atualizados<\/strong>, com teoria detalhada, quest\u00f5es comentadas e videoaulas direcionadas para cada concurso. Com pr\u00e1tica e um bom material, voc\u00ea estar\u00e1 preparado para resolver qualquer quest\u00e3o de progress\u00e3o geom\u00e9trica que aparecer na sua prova.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Acesse <a href=\"https:\/\/www.estrategiaconcursos.com.br\/\" target=\"_blank\" rel=\"noreferrer noopener\">os cursos do Estrat\u00e9gia Concursos<\/a> e fortale\u00e7a sua prepara\u00e7\u00e3o com um conte\u00fado de alto n\u00edvel.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bons estudos e at\u00e9 a pr\u00f3xima!<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"cursos-assinatura\">Cursos e Assinaturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Prepare-se com o melhor material e com quem mais aprova em Concursos P\u00fablicos em todo o pa\u00eds!<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-cyan-blue-color has-text-color has-background wp-block-paragraph\" style=\"background-color:#0078bd\"><a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-abertos\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-white-color\">Concursos Abertos<\/mark><\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-cyan-blue-color has-text-color has-background wp-block-paragraph\" style=\"background-color:#0078bd\"><a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2026\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-white-color\">Concursos 2026<\/mark><\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aprenda os conceitos essenciais sobre progress\u00e3o geom\u00e9trica com um resumo para as principais provas de concursos. Ol\u00e1, pessoal! Tudo bem com voc\u00eas? A Progress\u00e3o Geom\u00e9trica (PG) \u00e9 um dos conte\u00fados mais importantes de sequ\u00eancias num\u00e9ricas e aparece frequentemente em provas de concursos p\u00fablicos, vestibulares e exames militares. Esse tema costuma ser explorado em quest\u00f5es envolvendo [&hellip;]<\/p>\n","protected":false},"author":3098,"featured_media":1622958,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[2313,1,3766,220184,220242,214992,220181,1983,220182,220183,222427,1988,222278,220191,222408,1984,220737,214710,222239,222235,222236,222237],"tags":[],"tax_estado":[219964,219965,219966,219967,219968,219969,219963,219970,219971,219972,219973,219974,219975,219976,219977,219978,219979,219980,219981,219982,219983,219984,219985,219986,219987,219988,219989,219990],"class_list":["post-1760684","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-carreiras-bancarias","category-cursos-e-concursos","category-educacional","category-engenharias-e-ti","category-estrategia-militares","category-concursos-administrativos","category-area-financeira","category-fiscal-estadual","category-fiscal-federal","category-fiscal-municipal","category-petrobras","category-policia","category-prefeituras","category-previdenciaria","category-tecnologia-da-informacao","category-tribunais","category-tribunais-tribunais","category-tribunais-de-contas","category-tribunais-regionais-federais","category-tribunal-de-justica","category-tribunal-regional-do-trabalho","category-tribunal-regional-eleitoral","tax_estado-ac","tax_estado-al","tax_estado-am","tax_estado-ap","tax_estado-ba","tax_estado-ce","tax_estado-concursos-federais","tax_estado-df","tax_estado-es","tax_estado-go","tax_estado-ma","tax_estado-mg","tax_estado-ms","tax_estado-mt","tax_estado-pa","tax_estado-pb","tax_estado-pe","tax_estado-pi","tax_estado-pr","tax_estado-rj","tax_estado-rn","tax_estado-ro","tax_estado-rr","tax_estado-rs","tax_estado-sc","tax_estado-se","tax_estado-sp","tax_estado-to"],"acf":[],"yoast_head":"<!-- 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