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Sum of the series (2)/(3) +(8)/(9) + (26...

Sum of the series `(2)/(3) +(8)/(9) + (26) /(27) + (80)/(81) + cdots ` to n terms is

A

`n-(1)/(2) (3^(n)-1)`

B

`n+(1)/(2) (3^(n)-1)`

C

`n+(1)/(2) (1-3^(-n))`

D

`n +(1)/(2) (3^(-n) -1)`

Text Solution

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The correct Answer is:
D
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