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If n is any positive integer, write the value of i^4n+1- i^4n-1/2.

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If n is any positive integer, write the value of \(\frac{i^{4n+1}-i^{4n-1}}{2}\)

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Explanation As we know that i = \(\sqrt{-1}\), i2 = -1, i3 = -i , i4 = 1

z = \(\frac{i^{4n+1}-i^{4n-1}}{2}\) 

= \(\frac{(i^4)^n(i^1-i^{-1})}{2}\) 

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