{"id":55820,"date":"2020-10-01T15:30:00","date_gmt":"2020-10-01T10:00:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=55820"},"modified":"2020-10-05T15:35:29","modified_gmt":"2020-10-05T10:05:29","slug":"ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-55603\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-9.jpg\" alt=\"NCERT-Solutions-for-Class-11-Maths-Chapter-9\" width=\"785\" height=\"400\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-9.jpg 785w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-9-768x391.jpg 768w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/09\/NCERT-Solutions-for-Class-11-Maths-Chapter-9-30x15.jpg 30w\" sizes=\"(max-width: 785px) 100vw, 785px\" \/><\/p>\n<p>NCERT Class 11 maths chapter 9 solutions enable the students to understand the concepts of Sequence and Series &amp; they will learn about Arithmetic Progression (A. P.) and Geometric Progression (G.P.).<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions For 11th Maths All Chapters<\/a><\/li>\n<\/ul>\n<p>Solutions for class 11 Maths chapter 9 assist the students to develop a thorough understanding of the topics explained in the Chapter Sequences and Series. The students can learn new methods of solving a particular problem in expeditious time to improve their performance in the final exam.<\/p>\n<p>They can easily download class 11 Maths chapter 9 PDF solutions and study anywhere &amp; any time.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d0357d66a0a\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d0357d66a0a\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\/#ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\" title=\"NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series\">NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\/#what-will-you-learn-in-cbse-class-11-maths-chapter-9-sequences-and-series\" title=\"What will you learn in CBSE Class 11 Maths Chapter 9 Sequences and Series?\">What will you learn in CBSE Class 11 Maths Chapter 9 Sequences and Series?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\/#theorems-and-formulas-used-in-chapter\" title=\"Theorems and formulas used in chapter\">Theorems and formulas used in chapter<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\/#formulas\" title=\"Formulas\">Formulas<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\"><\/span>NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Class 11 maths chapter 9 solutions are prepared by subject experts after undertaking extensive research on each question and their problem-solving method.\u00a0Students will be able to measure their ability and improve their skills. NCERT solutions for class 11 maths chapter 9 are provided in an easy and self-explanatory way that assists the students to understand the basic and fundamental rules.<\/p>\n<p>You can download\u00a0CBSE NCERT Solutions for Class 11 Maths\u00a0Chapter 9 Sequences and Series\u00a0from below.<\/p>\n<p style=\"margin-top: 24px; text-align: center;\"><a style=\"display: inline-block; width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; text-decoration: underline; color: #ffffff; background: #ff4500; box-shadow: rgba(0, 0, 0, 0.25) 0px 2px 6px 0px;\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-11-Maths-Chapter-9.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Download NCERT Class 11 Maths Chapter 9 Solutions<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-learn-in-cbse-class-11-maths-chapter-9-sequences-and-series\"><\/span>What will you learn in CBSE Class 11 Maths Chapter 9 Sequences and Series?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are four exercises along with a miscellaneous exercise that assists the students to understand the concepts related to Sequences and Series clearly.<\/p>\n<p>The major concepts of Maths covered in solutions for class 11 maths chapter 9 are:<\/p>\n<p>9.1 Introduction: There are some important applications that student will study about the specific patterns which are the progression.<\/p>\n<p>9.2 Sequences: The student will study different sequences such as finite and infinite with examples.<\/p>\n<p>9.3 Series: The student will study series which is a specific type of sequence and it may also be finite and infinite like.<\/p>\n<p>9.4 Arithmetic Progression (A.P.): It is a specific type of series in which two successive terms are having the same common difference onwards. The student will study about Arithmetic Mean.<\/p>\n<p>9.5 Geometric Progression (G. P.): It is a specific type of series in which two successive terms are having the same common ratio onwards. The student will study about General term of a G.P, sum to n terms of a G.P, Geometric Mean (G.M.)<\/p>\n<p>9.6 Relationship between A.M. and G.M.: In this type of relationship between AM and GM will assist the student to find anyone of them if another one is given.<\/p>\n<p>9.7 Sum to n Terms of Special Series: The student will study some special series such as natural numbers, square of natural numbers, the cube of natural numbers, &amp; more.<\/p>\n<p>Exercises<\/p>\n<ul>\n<li>Exercise 9.1 solutions<\/li>\n<li>Exercise 9.2 solutions<\/li>\n<li>Exercise 9.3 solutions<\/li>\n<li>Exercise 9.4 solutions<\/li>\n<li>Miscellaneous exercise\u00a0solutions<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"theorems-and-formulas-used-in-chapter\"><\/span>Theorems and formulas used in chapter<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>Let a1, a2, a3, \u2026 be the sequence, the sum expressed as a1 + a2 + a3 + \u2026 is called series.<\/li>\n<\/ul>\n<ul>\n<li>An (A.P) arithmetic progression is a sequence in which terms increase or decrease regularly by the same constant. The first term of A.P. denotes by \u2018a\u2019, the common difference by \u2018d\u2019 and the last term by \u2018l\u2019. The general term or the nth term of arithmetic progression is given by an = a + (n \u2013 1) d.<\/li>\n<\/ul>\n<ul>\n<li>A sequence is said to be a geometric progression or G.P (Geometric Progression) if the ratio of any term to its preceding term is same throughout. The first term of a G.P. denotes by \u2018a\u2019 and its common ratio by \u2018r\u2019. The general or the nth term of Geometric Progression is given by an = arn \u2013 1<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"formulas\"><\/span>Formulas<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>If three terms of A.P. are to be taken then a \u2013 d, a, a + d.<\/li>\n<li>If four terms of A.P. are to be taken then a \u2013 3d, a \u2013 d, a + d, a + 3d.<\/li>\n<li>If five terms of A.P are to be taken, then a \u2013 2d, a \u2013 d, a, a + d, a + 2d.<\/li>\n<li>If a, b, c are in A.P. then 2b = a + c.<\/li>\n<li>If a, b, c are in G.P. then b\u00b2 = ac.<\/li>\n<\/ul>\n<p>We have covered the complete guide on\u00a0<a href=\"http:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a>\u00a0NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series. Feel free to ask us any questions in the comment section below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Class 11 maths chapter 9 solutions enable the students to understand the concepts of Sequence and Series &amp; they will learn about Arithmetic Progression (A. P.) and Geometric Progression (G.P.). NCERT Solutions For 11th Maths All Chapters Solutions for class 11 Maths chapter 9 assist the students to develop a thorough understanding of the &#8230; <a title=\"NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-9-sequences-and-series\/\" aria-label=\"More on NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":55603,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934],"tags":[3428],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55820"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=55820"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/55820\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/55603"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=55820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=55820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=55820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}