Complexity! (7)

Algebra Level 4

Evaluate the following sum in terms of nn,

k=1n(k+1)(k+1ω)(k+1ω2)\displaystyle \sum_{k=1}^n (k+1)\left(k + \dfrac{1}{\omega}\right)\left(k + \dfrac{1}{\omega^2}\right)

Notations: ω\omega and ω2\omega^2 are non-real cube roots of unity.


For more problems on complex numbers, click here.

×

Problem Loading...

Note Loading...

Set Loading...