{"id":2541,"date":"2026-05-05T17:01:17","date_gmt":"2026-05-05T17:01:17","guid":{"rendered":"https:\/\/mcqacademy.com\/ar\/mcq\/geometric-progression-calculation-14\/"},"modified":"2026-05-05T17:01:17","modified_gmt":"2026-05-05T17:01:17","slug":"geometric-progression-calculation-14","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/ar\/mcq\/geometric-progression-calculation-14\/","title":{"rendered":"\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062a\u062a\u0627\u0628\u0639\u0629 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 14"},"content":{"rendered":"<p>\u0644\u0645\u062a\u062a\u0627\u0628\u0639\u0629 \u0647\u0646\u062f\u0633\u064a\u0629 \u062d\u062f\u0647\u0627 \u0627\u0644\u0623\u0648\u0644 5 \u0648\u0646\u0633\u0628\u062a\u0647\u0627 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 1\/2\u060c \u0623\u0648\u062c\u062f \u0645\u062c\u0645\u0648\u0639 \u0623\u0648\u0644 8 \u062d\u062f\u0648\u062f.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>1403\/128<\/li>\n<li>1275\/128<\/li>\n<li>1275\/64<\/li>\n<li>-1275\/128<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[909,833],"subject":[123],"education_level":[5],"class_list":["post-2541","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-sequences-and-series","subject-mathematics","education_level-hsc"],"mcq_note":"\u0641\u064a \u0627\u0644\u0645\u062a\u062a\u0627\u0628\u0639\u0629 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629\u060c \u064a\u064f\u0636\u0631\u0628 \u0643\u0644 \u062d\u062f \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0646\u0641\u0633\u0647\u0627. \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0633\u0624\u0627\u0644 \u064a\u0637\u0644\u0628 \u0645\u062c\u0645\u0648\u0639\u064b\u0627\u060c \u0641\u0627\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a\u0629 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0645\u062a\u062a\u0627\u0628\u0639\u0629 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u0646\u062a\u0647\u064a\u0629 \u0628\u062f\u0644\u064b\u0627 \u0645\u0646 \u062c\u0645\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u064a\u062f\u0648\u064a\u064b\u0627. \u0639\u0646\u062f\u0645\u0627 r\u22601\u060c \u0641\u0625\u0646 S_n=a(r^n-1)\/(r-1). \u0648\u0645\u0646\u0647 S_8=5((1\/2)^8-1)\/(1\/2-1)=1275\/128. \u0627\u0646\u062a\u0628\u0647 \u062c\u064a\u062f\u064b\u0627 \u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u0646\u0633\u0628\u0629\u061b \u0641\u0647\u0645\u0627 \u064a\u062d\u062f\u062f\u0627\u0646 \u0647\u0644 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0645\u0648\u062c\u0628\u064b\u0627 \u0623\u0645 \u0633\u0627\u0644\u0628\u064b\u0627.","mcq_options":[{"right":"no","answer":"1403\/128"},{"right":"yes","answer":"1275\/128"},{"right":"no","answer":"1275\/64"},{"right":"no","answer":"-1275\/128"}],"multi_answers":"no","subject_terms":[{"id":123,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":909,"title":"Algebra","slug":"algebra"},{"id":833,"title":"\u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a\u0627\u062a \u0648\u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0627\u062a","slug":"sequences-and-series"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq\/2541","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/comments?post=2541"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/media?parent=2541"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/topic?post=2541"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/subject?post=2541"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/education_level?post=2541"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}