Wb Jee
Complex Numbers
WB JEE 2011
MCQ+1 / -0.252011
If \(\omega\) \(\ne\) 1 is a cube root of unity, then the sum of the series \(S = 1 + 2\omega + 3{\omega ^2} + \,\,.....\,\, + 3n{\omega ^{3n - 1}}\) is
Wb Jee
WB JEE 2011
If \(\omega\) \(\ne\) 1 is a cube root of unity, then the sum of the series \(S = 1 + 2\omega + 3{\omega ^2} + \,\,.....\,\, + 3n{\omega ^{3n - 1}}\) is