NCERT Solution Class 11 Chapter 9- Sequences and Series

NCERT Solutions For Class 11 Maths Chapter 9 PDF Free Download

The NCERT solutions for the questions given in Chapter 9, Sequences and Series, of the Class 11 NCERT textbooks are available here. In this chapter students learn about Sequences and Series in detail. Students can easily score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.

The Class 11 NCERT solutions for Sequences and Series are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the Class 11 maths Chapter 9 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well.

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

The major concepts of Maths covered in Chapter 9- Sequences and Series of NCERT Solutions for Class 11 includes:

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:

  1. 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, ….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.
  2. Let a1, a2, a3, … be the sequence, then the sum expressed as a1 + a2 + a3 + … is called series. A series is called finite series if it has a finite number of terms.
  3. 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 nth term of the A.P. is given by an = a + (n – 1) d.
  4. 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 nth term of G.P. is given by an = arn – 1

Key Features of NCERT Solutions for Class 11 Maths Chapter 9- Sequences and Series

Studying the Sequences and Series of Class 11 enables the students to understand the following:

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.), relation between A.M. and G.M. Formulae for the following special sums.

NCERT Solution Class 11 Chapter 9

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