Q. The sum of the infinite series, $1^{2} - \frac{2 ^{2}}{5} + \frac{3 ^{2}}{5 ^{2}} - \frac{4 ^{2}}{5 ^{3}} + \frac{5 ^{2}}{5 ^{4}} - \frac{6 ^{2}}{5 ^{5}} + \dots\dots .$ . is :

1737 151 Sequences and Series Report Error

A

$\frac{1}{2}$

B

$\frac{25}{24}$

C

$\frac{25}{54}$

D

$\frac{125}{252}$

Solution:

Correct answer is (c) $\frac{25}{54}$

Solution Image