{"id":17624,"date":"2026-05-02T18:23:57","date_gmt":"2026-05-02T12:23:57","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-sequence-15\/"},"modified":"2026-05-02T18:23:57","modified_gmt":"2026-05-02T12:23:57","slug":"algebraic-sequence-15","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-sequence-15\/","title":{"rendered":"Algebraic Sequence 15"},"content":{"rendered":"<p>If T_n = 3n &#8211; 2, for which n is T_n = 22?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>7<\/li>\n<li>8<\/li>\n<li>9<\/li>\n<li>2<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2567],"subject":[1425],"education_level":[1895],"class_list":["post-17624","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-sequences","subject-mathematics","education_level-ssc"],"mcq_note":"Here the term value is already given, so we set the formula equal to that value and solve for n. Solve 3n - 2 = 22. Adding 2 and dividing by 3 gives n = 8. This tells us which position in the sequence gives the required term. Therefore n = 8.","mcq_options":[{"right":"no","answer":"7"},{"right":"yes","answer":"8"},{"right":"no","answer":"9"},{"right":"no","answer":"2"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2567,"title":"Sequences","slug":"sequences"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17624","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=17624"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17624"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17624"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17624"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}