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Sum of series 1 + 2x + 7x^2 + 20x^3 + .....

Sum of series `1 + 2x + 7x^2 + 20x^3 + ........` up to n terms when `x = - 1` is

A

`(1)/(16) (4n + 3+ (-3)^(n+1))`

B

`(1)/(16) (4n - 3+ (-3)^(n+1))`

C

`(1)/(16) (4n + 3+ 3^(n+1))`

D

`(1)/(16) (4n + 3 - 3^(n+1))`

Text Solution

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The correct Answer is:
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