Find-the-value-of-i-n-for-every-positive-integer-n-where-i-2-1-i-3-i-2-i-i-4-i-2-i-2-etc-

Question Number 190275 by aye786naing last updated on 30/Mar/23

Find the value of i^{n} for every positive

integer n, where i^{2} = - 1, i^{3} = i^{2} i, i^{4} = i^{2} i^{2}, e t c .

Answered by Frix last updated on 31/Mar/23

k \in N : i^{n} = {\begin{cases} 1; n = 4 k \\ i; n = 4 k + 1 \\ - 1; n = 4 k + 2 \\ - i; n = 4 k + 3 \end{cases}

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