# NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.2 Sequences and Series

NCERT solutions for class 11 maths chapter 9 exercise 9.2 Sequences and Series starts with recalling the concept of arithmetic progression and how its n^{th} term is calculated by the expression ‘a + (n – 1) d’.

The chapter outlines some simple properties of an arithmetic progression :

(i) In case any constant gets added to each of the terms in an arithmetic progression then the resulting sequence will be an A.P.

(ii) In case any constant gets subtracted to each of the terms in an arithmetic progression then the resulting sequence will be an A.P.

(iii)In case any constant is multiplied to each of the terms in an arithmetic progression then the resulting sequence will be an A.P.

(iv) In case each of the terms in an A.P. is divided by a non-zero constant then the resulting sequence is an A.P.

The notations for an arithmetic progression are as follows: ‘a’ is the first term, ‘l’ is the last term, ‘d’ is the common difference, and ‘n’ is the number of terms.

S_{n} denotes the sum of ‘n’ terms of A.P.

The NCERT solutions class 11 maths chapter 9 exercise 9.2 consists of 18 short questions, out of which 10 are easy while 5 might be time taking due to multiple concepts involved.

This section also discusses the arithmetic mean, ‘A’, which if inserted between two numbers ‘x’ and ‘y’ , then x, A, y form an arithmetic sequence. The exercise questions in the class 11 maths NCERT solutions chapter 9 exercise 9.2 Sequences and Series can be accessed through the link given below :

**ā** Download NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.2

**Exercise 9.2 Class 11 Chapter 9 **

### More Exercises in Class 11 Maths Chapter 9

- NCERT Solutions Class 11 Maths Chapter 9 Ex 9.1
- NCERT Solutions Class 11 Maths Chapter 9 Ex 9.3
- NCERT Solutions Class 11 Maths Chapter 9 Ex 9.4
- NCERT Solutions Class 11 Maths Chapter 9 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.2 Tips

The NCERT solutions class 11 maths chapter 9 exercise 9.2 Sequences and Series has logically derived formulas with explanations which the students must practice by themselves after giving them a good read. If a sequence : a, a + d, a + 2d, …, a + (n – 1) d is an A.P. Then ‘l’ = a + (n – 1) d.

The NCERT solutions class 11 maths chapter 9 exercise 9.2 has some following facts to remember. Any sequence a_{1 }, a_{2} , a_{3} ,…, a_{n} ,… is an arithmetic sequence if a_{n + 1} = a_{n} + d, where a_{1} is the first term and ‘d’ is the common difference of the A.P. Also, for any two given numbers, any number of terms can be inserted in between them such that the resulting sequence is an arithmetic progression.

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