# NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.3 Sequences and Series

NCERT solutions for class 11 maths chapter 9 exercise 9.3 Sequences and Series throws light on some special sequences where the terms follow a definite order, in a way that each term is in a constant ratio to its preceding term. These sequences are known as the geometric sequence or geometric progression also written as G.P.

If the first term is ‘a’, then the geometric progression would be a, ar, ar^{2 }, ar^{3} ,…., where ‘r’ is the common ratio of the G.P.

The students must remember that the n^{th} term of a G.P. is calculated by a_{n} = ar^{n-1}

And, that the sum of n terms of a G.P. can be found by the formula :

S_{n} = a + ar + ar^{2} +...+ ar^{n–1}

The NCERT solutions class 11 maths chapter 9 exercise 9.3 consists of 32 questions based on the given concepts.

Also, if A and G are the A.M. and G.M. of any two positive real numbers ‘a’ and ‘b’,

Then, A = (a+b)/2 and G =√(ab)

Hence, we can say A – G = (a+b)/2 - √(ab) which results in (√a- √b)^{2}/2 ≥ 0

This relationship shows that A ≥ G ( Arithmetic Mean is greater than equal to the Geometric Mean).

The pdf file of the class 11 maths NCERT solutions chapter 9 exercise 9.3 Sequences and Series can be found in the link given below :

**ā** Download NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.3

**Exercise 9.3 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 9.2
- 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 9.3 Tips

The NCERT solutions class 11 maths chapter 9 exercise 9.3 Sequences and Series has simple formulas regarding geometric progression. The students must write and practice the derivation of these formulas in order to grasp them quickly. They must also pay attention to the relationship between the arithmetic and geometric mean as it forms an important part of the chapter.

The NCERT solutions class 11 maths chapter 9 exercise 9.3 includes some questions that are a little more difficult, but students should look over the solved examples before practicing this exercise. To clear any doubts, they can always refer to the highlights in the NCERT textbook.

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