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The value of the series $1 + i^2 + i^4 + i^6 + ..... + i^{2n}$ is:

$\sum\limits_{n = 1}^{50} {{i^{2n-1}}}$ is equal to (where $i = \sqrt{-1}$)

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If $\left(\frac{1+i}{1-i}\right)^{m}=1$,then find the least positive integral value of $m$.

If $n$ is a positive integer,then which of the following relations is false?

By simplifying $i^{18}-3i^7+i^2(1+i^4)(i)^{22}$,we get

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