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The value of the expression : 2(1+omeg...

The value of the expression :
`2(1+omega)(1+omega^(2))+3(2omega+1)(2omega^(2)+1)+4(3omega+1)(3omega^(2)+1)+.....+(n+1)(nomega+1)(nomega^(2)+1)` where `omega` is a cube root of unity is

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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