sum(n=1)^(oo)((4n+5).5^(-n))/(n(5n+5))=...

`sum_(n=1)^(oo)((4n+5).5^(-n))/(n(5n+5))=`

A

`(1)/(5)`

B

`(4)/(5)`

C

`(1)/(25)`

D

1

Verified by Experts

The correct Answer is:

A

`sum_(n=1)^(oo)((5n+5-n)5^(-n))/(n(5n+5))=sum_(n=1)^(oo)((5^(-n))/(n)-(5^(-n-1))/(n+1))=(1)/(5)`

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