Three numbers are in A.P. Their sum is 24 . If the first is decreased by one, the second is decreased by two and the third is not changed then they form a G.P. Find the three numbers in A.P.<\/a><\/li><\/ul><\/nav><\/div>\n

<\/span>Equation : Sum of n terms of G.P. | Sn = a(1-r^{n<\/sup>)\/(1 \u2013 r) if r<1. Sn=a(r^{n<\/sup>-1)\/(r-1) if r>1<\/span><\/h2>\n\n\n\n\n<\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_second_and_fourth_term_of_GP_are_18_and_72_respectively_Find_the_sum_of_its_first_10_terms\"><\/span>The second and fourth term of G.P. are 18 and 72 respectively. Find the sum of its first 10 terms.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Sum of n terms of GP | Example 40\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/ACTpjsmzEGI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Obtain_the_sum_of_the_following_series_up_to_n_terms_111111111111111%E2%80%A6_up_to_n_terms\"><\/span>Obtain the sum of the following series up to n terms : 1+11+111+1111+11111+\u2026 up to n terms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Sum of n terms of the given series | Example 42\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/2Vh815LZ-Yk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_the_sum_of_the_series_05_055_0555_up_to_n_terms\"><\/span>Find the sum of the series : 0.5 + 0.55 + 0.555 + .. up to n terms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Sum of n terms of a given series | Example 43\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/J5ILle4757w?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Obtain_the_sum_of_the_series_up_to_n_terms_1_11_101_1001_up_to_n_terms\"><\/span>Obtain the sum of the series up to n terms : 1 + 11 + 101 + 1001 +.. up to n terms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Obtain the Sum of n terms of the series | Example no 44\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/YjMQm59lJ1c?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_the_sum_of_terms_of_the_series_11_103_1005_%E2%80%A6\"><\/span>Find the sum of terms of the series 11 + 103 + 1005 +\u2026<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Obtain the sum of n terms of the series | 11 + 101 + 1003 + .. up to n terms | Example 45\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/zT1angqEfJg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Three_numbers_are_in_AP_Their_sum_is_24_If_the_first_is_decreased_by_one_the_second_is_decreased_by_two_and_the_third_is_not_changed_then_they_form_a_GP_Find_the_three_numbers_in_AP\"><\/span>Three numbers are in A.P. Their sum is 24 . If the first is decreased by one, the second is decreased by two and the third is not changed then they form a G.P. Find the three numbers in A.P.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Arithmetic & Geometric Progression | Example 46\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/cOYl5ABp5Ew?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n<\/body>","protected":false},"excerpt":{"rendered":"<p>Equation : Sum of n terms of G.P. | Sn = a(1-rn)\/(1 \u2013 r) if r<1. Sn=a(rn-1)\/(r-1) if r>1 The second and fourth term of G.P. are 18 and 72 respectively. Find the sum of its first 10 terms. Obtain the sum of the following series up to n terms : 1+11+111+1111+11111+\u2026 up to n […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-2396","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2396"}],"version-history":[{"count":1,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2396\/revisions"}],"predecessor-version":[{"id":2398,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2396\/revisions\/2398"}],"wp:attachment":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}}}