{"id":17629,"date":"2026-05-02T18:24:38","date_gmt":"2026-05-02T12:24:38","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-sequence-20\/"},"modified":"2026-05-02T18:24:38","modified_gmt":"2026-05-02T12:24:38","slug":"algebraic-sequence-20","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-sequence-20\/","title":{"rendered":"Algebraic Sequence 20"},"content":{"rendered":"<p>Find the nth term of the arithmetic sequence: 5, 12, 19, &#8230;<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>5 + 7n<\/li>\n<li>-2 + 7n<\/li>\n<li>-2n + 7<\/li>\n<li>7 + -2n<\/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-17629","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 = 5 + (n-1)7 = -2 + 7n. 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 -2 + 7n.","mcq_options":[{"right":"no","answer":"5 + 7n"},{"right":"yes","answer":"-2 + 7n"},{"right":"no","answer":"-2n + 7"},{"right":"no","answer":"7 + -2n"}],"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\/17629","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=17629"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17629"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17629"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17629"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}