The sum to n terms of the series 1 + ...

The sum to n terms of the series
`1 + (1 + 3) + (1 + 3 + 9) + (1 + 3 + 9+ 27) + ...` is :

a)`( 3 ( 3 ^(n) - 1))/( 4) -1 ` b)`(2 (3 ^(n) -1 ) - 2n )/( 4)` c)`(3 ( 3 ^(n) -1 ) - n )/( 4)` d)`( 3 ( 3 ^(n) -1 )-2n)/( 4)`

A

`( 3 ( 3 ^(n) - 1))/( 4) -1 `

B

`(2 (3 ^(n) -1 ) - 2n )/( 4)`

C

`(3 ( 3 ^(n) -1 ) - n )/( 4)`

D

`(2n - 3 ( 3 ^(n) -1 ))/( 4)`

Verified by Experts

The correct Answer is:

B

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