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If n is an odd integer greater than or e...

If n is an odd integer greater than or equal to 1, then 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

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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