Practising the **NCERT Solutions Class 11 Chapter 9 Sequences and Series** can help the students develop a thorough understanding of the topics explained in the Chapter. These solutions prepared by highly experienced teachers at BYJUâ€™S are bound to help the students in addressing challenging questions with utmost confidence. Using the NCERT Solutions provided here, students can learn new methods of solving a particular problem in expeditious time to improve their performance in the Maths exam. These solutions have been designed after undertaking extensive research on each question and their problem solving method.

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## NCERT Solutions for Class 11 Maths Chapter 9- Sequences and Series

Enlisted beneath are the important concepts of Maths included in the Chapter 9 Sequences and Series:

9.1 Introduction

9.2 Sequences

9.3 Series

9.4 Arithmetic Progression (A.P.)

9.4.1 Arithmetic mean

9.5 Geometric Progression (G. P.)

9.5.1 General term of a G.P

9.5.2. Sum to n terms of a G.P

9.5.3 Geometric Mean (G.M.)

9.6 Relationship Between A.M. and G.M.

9.7 Sum to n Terms of Special Series

Exercise 9.1 Solutions 14 Questions

Exercise 9.2 Solutions 18 Questions

Exercise 9.3 Solutions 32 Questions

Exercise 9.4 Solutions 10 Questions

Miscellaneous Exercise On Chapter 9 Solutions 32 Questions

## NCERT Solutions for Class 11 Maths Chapter 9- Sequences and Series

The chapter Sequences and Series belongs to the unit Algebra, that adds up to 30 marks of the total 80 marks. There are 4 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Sequences and Series clearly. Some of the topics discussed in Chapter 9 of NCERT Solutions for Class 11 Maths are as follows:

- By a sequence, we mean an arrangement of numbers in definite order according to some rule. Also, we define a sequence as a function whose domain is the set of natural numbers or some subsets of the type {1, 2, 3, â€¦.k}. A sequence containing a finite number of terms is called a finite sequence. A sequence is called infinite if it is not a finite sequence.
- Let a
_{1}, a_{2}, a_{3}, â€¦ be the sequence, then the sum expressed as a_{1}+ a_{2}+ a_{3}+ â€¦ is called series. A series is called finite series if it has a finite number of terms. - An arithmetic progression (A.P.) is a sequence in which terms increase or decrease regularly by the same constant. This constant is called the common difference of the A.P. Usually, we denote the first term of A.P. by a, the common difference by d and the last term by l. The general term or the n
^{th}term of the A.P. is given by a_{n}= a + (n â€“ 1) d. - A sequence is said to be a geometric progression or G.P., if the ratio of any term to its preceding term is same throughout. This constant factor is called the common ratio. Usually, we denote the first term of a G.P. by a and its common ratio by r. The general or the n
^{th}term of G.P. is given by a_{n}= ar^{n â€“ 1}

A student who has mastered the chapter Sequences and Series of Class 11 would also have a strong hold on the concepts related to the chapter, namely, Sequence and Series, Arithmetic Progression (A. P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.) and the relation between A.M. and G.M.