Question: Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2 i) / 2)^ n has the value of -1 if n =

Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2

Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2 i) / 2)^ n has the value of -1 if n = 3k plus minus 1 and value 2 if n = 3k where k is an integer.

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