The sum of four numbers in G.P. is 60 and the A.M. (arithmetic mean) between the first and the last term is 18. Find the numbers.<\/a><\/li><\/ul><\/nav><\/div>\n

<\/span>Definition of Geometric Progression & n^{th<\/sup> term of a G.P.<\/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=\"Obtain_the_required_terms_of_the_following_sequence\"><\/span>Obtain the required terms of the following sequence:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_2_4_8_16%E2%80%A6_12th_term_2_05_025_0125_%E2%80%A6_10th_term_3_5_10_20_40_%E2%80%A6_30th_term_4_6_12_24_48_%E2%80%A6_15th_term\"><\/span>(1) 2, 4, 8, 16,\u2026 12<sup>th<\/sup> term (2) 0.5, 0.25, 0.125, \u2026 10<sup>th<\/sup> term (3) 5, 10, 20, 40, \u2026 30<sup>th<\/sup> term (4) 6, 12, 24, 48, \u2026 15<sup>th<\/sup> term<span class=\"ez-toc-section-end\"><\/span><\/h3>\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=\"Geometric Progression | Examples of GP | Find nth term of GP\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/Ku4GaazgHFk?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=\"Which_term_of_the_GP_2_2%E2%88%9A2_4_%E2%80%A6_is_64\"><\/span>Which term of the G.P. 2, 2\u221a2 , 4, \u2026 is 64?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_first_term_of_a_GP_is_50_and_4th_term_is_1350_Determine_its_5th_term\"><\/span>The first term of a G.P. is 50 and 4<sup>th<\/sup> term is 1350. Determine its 5<sup>th<\/sup> term.<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=\"Geometric Progression | Example 27 & 28\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/ifQGFMkjqDc?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=\"The_7th_term_of_a_GP_is_8_times_the_4th_term_Find_the_GP_when_the_5th_term_is_48\"><\/span>The 7<sup>th<\/sup> term of a G.P. is 8 times the 4<sup>th <\/sup>term. Find the G.P. when the 5<sup>th<\/sup> term is 48.<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=\"Geometric Progression | Example 30\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/B8N5BfITJ9I?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=\"Prove_that_13125_is_a_term_of_the_series_25_5_1_%E2%80%A6\"><\/span>Prove that 1\/3125 is a term of the series 25, 5, 1, \u2026 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"If_x_y_z_are_the_pth_qth_and_rth_terms_of_a_GP_Then_prove_that_xq-r_yr-p_zp-q_1\"><\/span>If x, y, z are the p<sup>th<\/sup>, q<sup>th<\/sup> and r<sup>th<\/sup> terms of a G.P. .Then prove that x<sup>q-r<\/sup> y<sup>r-p<\/sup> z<sup>p-q<\/sup> = 1<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=\"Geometric Progression | Example 32 & 33\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/85phs-sVjSY?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=\"The_5th_term_of_a_GP_is_%E2%80%98a_its_15th_term_is_%E2%80%98b_and_10th_term_is_%E2%80%98c_Prove_that_abc2\"><\/span>The 5th term of a G.P. is \u2018a\u2019, its 15th term is \u2018b\u2019 and 10th term is \u2018c\u2019. Prove that ab=c<sup>2<\/sup><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"How_to_assume_unknown_terms_of_a_GP\"><\/span>How to assume unknown terms of a G.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=\"Geometric Progression | Find unknown terms of a GP | Example 34 & 36\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/efnpVBJBRfo?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=\"The_sum_of_four_numbers_in_GP_is_60_and_the_AM_arithmetic_mean_between_the_first_and_the_last_term_is_18_Find_the_numbers\"><\/span>The sum of four numbers in G.P. is 60 and the A.M. (arithmetic mean) between the first and the last term is 18. Find the numbers.<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=\"Geometric Progression | Find Four unknown numbers | Example 39\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/et9h0gZtRoA?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<p><\/p>\n<\/body>","protected":false},"excerpt":{"rendered":"<p>Definition of Geometric Progression & nth term of a G.P. Obtain the required terms of the following sequence: (1) 2, 4, 8, 16,\u2026 12th term (2) 0.5, 0.25, 0.125, \u2026 10th term (3) 5, 10, 20, 40, \u2026 30th term (4) 6, 12, 24, 48, \u2026 15th term Which term of the G.P. 2, 2\u221a2 […]<\/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-2392","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2392","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=2392"}],"version-history":[{"count":1,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2392\/revisions"}],"predecessor-version":[{"id":2394,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2392\/revisions\/2394"}],"wp:attachment":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}}