{"id":17942,"date":"2026-05-02T20:13:19","date_gmt":"2026-05-02T14:13:19","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/geometric-progression-calculation-3\/"},"modified":"2026-05-02T20:13:19","modified_gmt":"2026-05-02T14:13:19","slug":"geometric-progression-calculation-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/geometric-progression-calculation-3\/","title":{"rendered":"Geometric Progression Calculation 3"},"content":{"rendered":"<p>For a geometric progression with first term -3 and common ratio 1\/2, find the 8th term.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-3\/128<\/li>\n<li>125\/128<\/li>\n<li>-3\/64<\/li>\n<li>3\/128<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2599],"subject":[1425],"education_level":[1896],"class_list":["post-17942","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-sequences-and-series","subject-mathematics","education_level-hsc"],"mcq_note":"For a geometric progression, the nth term is found by multiplying the first term by the common ratio raised to n-1. This is because the first term already counts as term 1. The nth term is a r^(n-1). Therefore T_8=-3(1\/2)^(8-1)=-3\/128. So after substituting a, r, and n, we get the required term.","mcq_options":[{"right":"yes","answer":"-3\/128"},{"right":"no","answer":"125\/128"},{"right":"no","answer":"-3\/64"},{"right":"no","answer":"3\/128"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2599,"title":"Sequences And Series","slug":"sequences-and-series"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17942","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=17942"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17942"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17942"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17942"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}