Q. The sum of the infinite series $1 + \frac{5}{6} + \frac{12}{6 ^{2}} + \frac{22}{6 ^{3}} + \frac{35}{6 ^{4}} + \frac{51}{6 ^{5}} + \frac{70}{6 ^{6}} + \dots .$ is equal to:

542 164 JEE MainJEE Main 2022Sequences and Series Report Error

A

$\frac{425}{216}$

43%

B

$\frac{429}{216}$

29%

C

$\frac{288}{125}$

29%

D

$\frac{280}{125}$

0%

Solution:

$S = \frac{288}{125}$