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If n is an odd integer greater than or equal to 1, the value of `=n^(3)-(n-1)^(3)+(n-2)^(3)-"..."+(-1)^(n-1)1^(3)` is

A

`((n+1)^2. (2n-1))/4`

B

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

C

`((n+1)^2 . (2n+1))/4`

D

`((n-1)^2 . (2n+1))/4`

Text Solution

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The correct Answer is:
A
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