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If omega is a complex cube root of un...

If `omega` is a complex cube root of unity , then for any `n gt 1 underset(r = 1)overset(n - 1) sumr(r + 1 - omega)(r + 1 - omega^(2) ]=`

A

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

B

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

C

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

D

`(n(n+1)(2n+1))/6`

Text Solution

Verified by Experts

The correct Answer is:
B
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