Find the sum of the infinite geometric s...

Find the sum of the infinite geometric series `(1+1/3+1/9+1/27+...oo)`.

A

1

B

`(3)/(2)`

C

2

D

`(5)/(2)`

Verified by Experts

The correct Answer is:

B

`S=(a)/(1-r), a=1,r=(1)/(3),S=(1)/(1-(1)/(3))=(3)/(2)`

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The sum of the infinite series is (1)/(1.3)+(1)/(3.5)+(1)/(5.7)+...oo(A)(1)/(7)(B)(1)/(3)(C)(1)/(5) (D) (1)/(2)