{"id":17940,"date":"2026-05-02T20:12:58","date_gmt":"2026-05-02T14:12:58","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/geometric-progression-calculation-1\/"},"modified":"2026-05-02T20:12:58","modified_gmt":"2026-05-02T14:12:58","slug":"geometric-progression-calculation-1","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/geometric-progression-calculation-1\/","title":{"rendered":"Geometric Progression Calculation 1"},"content":{"rendered":"<p>For a geometric progression with first term -3 and common ratio 3, find the 9th term.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>19683<\/li>\n<li>-19682<\/li>\n<li>-39366<\/li>\n<li>-19683<\/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-17940","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_9=-3(3)^(9-1)=-19683. So after substituting a, r, and n, we get the required term.","mcq_options":[{"right":"no","answer":"19683"},{"right":"no","answer":"-19682"},{"right":"no","answer":"-39366"},{"right":"yes","answer":"-19683"}],"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\/17940","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=17940"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17940"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17940"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17940"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17940"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}