Question

If n is any positive integer, then the value of

$\frac{i^{4n + 1} - i^{4n - 1}}{2}$equals-

• A. 1
• B. –1
• C. I
• D. –i

Answer 1

Answer: (C)

I

Answer 2

Sol. $\frac{i^{4n}.i - i^{4n}.i^{- 1}}{2}$=$\frac{i - \frac{1}{i}}{2}$=$\frac{i^{2} - 1}{2}$= i