<\/span>Sequence, Finite sequence, Infinite sequence, Series, Progression and Arithmetic Progression<\/span><\/h2>\n\n\n\n
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<\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Obtain_the_required_term_from_the_given_sequence_of_AP\"><\/span>Obtain the required term from the given sequence of A.P.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_-6-4-2%E2%80%A6_Find_12th_term_2_159%E2%80%A6_Find_20th_term_3_4_72_3_52_%E2%80%A6_25th_term\"><\/span>(1) -6,-4,-2,\u2026. Find 12th term (2) 1,5,9,\u2026 Find 20th term (3) 4, 7\/2, 3, 5\/2 \u2026 25th 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=\"Arithmetic & Geometric Progression | Find Nth Term | Example 1\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/lUof0TCtnVI?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=\"How_to_find_nth_term_of_an_AP_Tn_a_n-1d\"><\/span>How to find nth term of an A.P. ( Tn = a + (n-1)d )<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 | Equation to find nth term of an A.P.\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/xB9z8lwZFN8?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=\"If_third_term_of_an_AP_is_12_and_sixth_term_is_42_find_twenty_sixth_term\"><\/span>If third term of an A.P. is 12 and sixth term is 42, find twenty sixth 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=\"Arithmetic & Geometric Progression | Find AP of any term | Example 2\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/jiqlF6ClYnI?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=\"1_Eighth_term_of_an_AP_is_5_and_thirteenth_term_is_25_Find_fiftieth_term_2_If_nineteenth_term_of_an_AP_is_100_and_twenty-ninths_term_is_60_find_seventieth_term\"><\/span>(1) Eighth term of an A.P. is 5 and thirteenth term is 25, Find fiftieth term. (2) If nineteenth term of an A.P. is 100 and twenty-ninths term is 60, find seventieth 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=\"Arithmetic & geometric Progression | Example No 3 & 4 | Find nth term of an AP\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/b1ZExTlJhHg?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=\"If_pth_term_of_an_AP_is_q_and_qth_term_of_an_AP_is_p_then_show_that_pqth_term_is_zero\"><\/span>If p<sup>th<\/sup> term of an A.P. is q and q<sup>th<\/sup> term of an A.P. is p, then show that (p+q)<sup>th<\/sup> term is zero.<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 Progression | Example 5 | Prove that (p+q)th term is zero\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/3Tk8A0l0bU4?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=\"1_Determine_z_so_that_z2_4z-6_and_3z-2_are_the_three_consecutive_terms_of_an_AP_2_If_abc_are_in_AP_then_prove_that_the_following_terms_are_also_in_AP_i_1bc_1ac_1ab_ii_bc_ca_ab\"><\/span>(1) Determine z so that z+2, 4z-6 and 3z-2 are the three consecutive terms of an A.P. (2) If a,b,c are in A.P. then prove that the following terms are also in A.P. (i) 1\/bc, 1\/ac, 1\/ab (ii) b+c, c+a, a+b <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 Progression | Example 7 | Example 8 (1 & 2)\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/KhCWSfTC-2Q?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=\"If_abc_are_in_AP_then_prove_that_abcabc_bcabca_cabcab_are_also_in_AP\"><\/span>If a,b,c are in A.P. then prove that (ab+ca)\/bc, (bc+ab)\/ca, (ca+bc)\/ab are also 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 Progression | Example 8 (3)\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/-brqoF8zLiU?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=\"If_a_b_c_are_in_AP_then_prove_that_bc2-a2_ca2-b2_ab2-c2\"><\/span>If a, b, c are in A.P. then prove that (b+c)<sup>2<\/sup>-a<sup>2<\/sup>, (c+a)<sup>2<\/sup>-b<sup>2<\/sup>, (a+b)<sup>2<\/sup>-c<sup>2<\/sup>.<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 Progression | Example 8 (4)\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/RClWYbYGadI?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=\"If_a2_b2_c2_are_in_AP_then_prove_that_the_followings_terms_are_also_in_AP_i_abc_bac_cab_ii_1bc_1ac_1ab\"><\/span>If a<sup>2<\/sup>, b<sup>2<\/sup>, c<sup>2<\/sup> are in A.P. then prove that the followings terms are also in A.P. (i) a\/bc, b\/ac, c\/ab (ii) 1\/(b+c), 1\/(a+c), 1\/(a+b)<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 Progression | Example 9\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/QqJlLOzA-gU?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=\"If_abc_bca_cab_in_AP_prove_that_a2_b2_c2_are_also_in_AP\"><\/span>If a\/(b+c), b\/(c+a), c\/(a+b) in A.P., prove that a<sup>2<\/sup>, b<sup>2<\/sup>, c<sup>2<\/sup> are also 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 Progression | Example 11\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/DaFdnVaRSQQ?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>Sequence, Finite sequence, Infinite sequence, Series, Progression and Arithmetic Progression Obtain the required term from the given sequence of A.P. (1) -6,-4,-2,\u2026. Find 12th term (2) 1,5,9,\u2026 Find 20th term (3) 4, 7\/2, 3, 5\/2 \u2026 25th term How to find nth term of an A.P. ( Tn = a + (n-1)d ) If third […]<\/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-2375","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2375","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=2375"}],"version-history":[{"count":3,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2375\/revisions"}],"predecessor-version":[{"id":2380,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2375\/revisions\/2380"}],"wp:attachment":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}