The value of the expression \(\Big(1+\frac{1}{w}\Big) \Big(1+\frac{1}{w^2}\Big) + \Big(2+\frac{1}{w}\Big) \Big(2+\frac{1}{w^2}\Big) +....+ \Big(n+\frac{1}{w}\Big) \Big(n+\frac{1}{w^2}\Big),\) where ω is an imaginary cube root of unity is
1
\(\frac{n(n^2+2)}{3}\)
2
\(\frac{n(n^2-2)}{3}\)
3
\(\frac{n(n^2+1)}{3}\)
4
More than one of the above
5
None of the above