An algebra problem by Aniket Rai

Algebra Level 2

Find its closed form

\[2 (1+1/w)(1+1/w ^2) + 3(2+1/w)(2+1/w ^2) +... \\ + (n+1)(n+1/w)(n + 1/w ^2) \]

\(w^3 = 1\), \(w \ne 1 \).

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