The least positive integer such that ,

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

The least positive integer nn such that (2i)n(1−i)n−2\frac{(2i)^n}{(1-i)^{n-2}}, i=−1i = \sqrt{-1}, is a positive integer, is _____.

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