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The value of the expression 2(1+(1)/(ome...

The value of the expression `2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1)/(omega))(2+(1)/(omega^(2)))+4(3+(1)/(omega^(2)))(3+(1)/(omega^(2)))+.......+(n+1)(n+(1)/(omega^(2)))(n+(1)/(omega^(2)))` where `omega` is an imaginary cube roots of unity, is:

A

`(n (n^2 + 2))/(3)`

B

`(n(^2 - 2))/(3)`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-COMPLEX NUMBER-ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
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