{"id":17623,"date":"2026-05-02T18:23:49","date_gmt":"2026-05-02T12:23:49","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-sequence-14\/"},"modified":"2026-05-02T18:23:49","modified_gmt":"2026-05-02T12:23:49","slug":"algebraic-sequence-14","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-sequence-14\/","title":{"rendered":"Algebraic Sequence 14"},"content":{"rendered":"<p>Find the nth term of the arithmetic sequence: 21, 30, 39, &#8230;<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>12 + 9n<\/li>\n<li>21 + 9n<\/li>\n<li>12n + 9<\/li>\n<li>9 + 12n<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2561],"subject":[1425],"education_level":[1895],"class_list":["post-17623","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-arithmetic-sequences","subject-mathematics","education_level-ssc"],"mcq_note":"This is an arithmetic sequence because the difference between consecutive terms is constant. For an arithmetic sequence, T_n = first term + (n-1)d = 21 + (n-1)9 = 12 + 9n. A useful check is to put n = 1 into the final formula; it should give the first term of the sequence. So the nth term is 12 + 9n.","mcq_options":[{"right":"yes","answer":"12 + 9n"},{"right":"no","answer":"21 + 9n"},{"right":"no","answer":"12n + 9"},{"right":"no","answer":"9 + 12n"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2561,"title":"Arithmetic Sequences","slug":"arithmetic-sequences"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17623","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=17623"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17623"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17623"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17623"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}