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Let omega is an imaginary cube root of u...

Let `omega` is an imaginary cube root of unity then the value of
`2(1+omega)(1+omega^(2))+ 3(2 omega+1)(2 omega^(2)+1)+... +(n+1)(n omega+1)(n omega^(2)+1)` is

A

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

B

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

C

`[(n(n+1))/(4)]^(2)-n`

D

none of these

Text Solution

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The correct Answer is:
A
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