NCERT Solutions For Class 11 Maths Chapter 9 Sequences and Series Ex 9.4
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Textbook | NCERT |
Board | CBSE |
Category | NCERT Solutions |
Class | Class 11 |
Subject | Maths |
Chapter | Chapter 9 |
Exercise | Class 11 Maths Chapter 9 Sequences and Series Exercise 9.4 |
Number of Questions Solved | 10 |

NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series Ex 9.4
NCERT TEXTBOOK EXERCISES
Ex 9.4 Class 11 Maths Question 1.
1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ………
Solution:
In the given series, there is a sum of multiple of corresponding terms of two A.P’s. The two A.P’s are

Ex 9.4 Class 11 Maths Question 2.
1 x 2 x 3 + 2 x 3 x 4 + 3 x 4 x 5 + ……
Solution:
In the given series, there is a sum of multiple of corresponding terms of two A.P’s. The three A.P’s are
Ex 9.4 Class 11 Maths Question 3.
3 x 12 + 5 x 22 + 7 x 32 + …..
Solution:
In the given series there is sum of multiple of corresponding terms of two A.P’s. The two A.P’s are
(i) 3, 5, 7, …………… and
(ii) 12, 22, 32, ………………….
Now the nth term of sum is an = (nth term of the sequence formed by first A.P.) x (nth term of the sequence formed by second A.P.) = (2 n + 1) x n2 = 2n3 + n2 Hence, the sum to n terms is,

Ex 9.4 Class 11 Maths Question 4.
$\frac { 1 }{ 1\times 2 } +\frac { 1 }{ 2\times 3 } +\frac { 1 }{ 3\times 4 } +$+ …….
Solution:
In the given series there is sum of multiple of corresponding terms of two A.P’s. The two A.P’s are


Ex 9.4 Class 11 Maths Question 5.
52 + 62 + 72 + ………….. + 202
Solution:
The given series can be written in the following way

Ex 9.4 Class 11 Maths Question 6.
3 x 8 + 6 x 11 + 9 x 25 + ………….
Solution:
In the given series, there is sum of multiple of corresponding terms of two A.P/s. The two A.P/s are
(i) 3, 6, 9, ………….. and
(ii) 8, 11, 14, ……………….
Now the nth term of sum is an = (nth term of the sequence formed by first A.P.) x (nth term of the sequence formed by second A.P.)

Ex 9.4 Class 11 Maths Question 7.
12 + (12 + 22) + (12 + 22 + 32) + ………….
Solution:
In the given series
an = 12 + 22 + …………….. + n2

Find the sum to n terms of the series in Exercises 8 to 10 whose nth terms is given by
Ex 9.4 Class 11 Maths Question 8.
n(n + 1)(n + 4)
Solution:
We have

Ex 9.4 Class 11 Maths Question 9.
n2 + 2n
Solution:
We have an = n2 + 2n
Hence, the sum to n terms is,

Ex 9.4 Class 11 Maths Question 10.
(2n – 1)2
Solution:
We have

NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series Exercise 9.4 PDF
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