Q. If $1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \dots . = \frac{π}{4}$ , then value of $\frac{1}{1 \times 3} + \frac{1}{5 \times 7} + \frac{1}{9 \times 11} + \dots\dots$ is

89 123 Sequences and Series Report Error

A

$\frac{π}{8}$

63%

B

$\frac{π}{6}$

12%

C

$\frac{π}{4}$

10%

D

$\frac{π}{36}$

15%

Solution:

Correct answer is (a) $\frac{π}{8}$