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Find the sum to infinity of the followi...

Find the sum to infinity of the following Geometric Progression:`(-3)/4,3/(16),(-3)/(64),...`

A

`-3/5`

B

`-2/5`

C

`3/5`

D

`2/5`

Text Solution

Verified by Experts

The correct Answer is:
A
Given series is in G.P.
Let `a` = first term and `r` = common ratio
Here, `a=-3/4` and `r=-1/4`
`therefore S=a/(1−r)​=(-3/4)/(1+1/4)​=(-3/4)/(5/4) = -3/5`.
Thus, the sum of given series is `-3/5`.
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