[" Solve "],[i^(4)n+1-i^(4n-1)]

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

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

Evaluate (i^(4n+1) - i^(4n-1)) .

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

If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(2)=

Prove that : (1 + i)^(4n) and (1 + i)^(4n + 2) are real and purely imaginary respectively.

For an positive integer n, prove that : i^(n) + i^(n+1) + i^(n+2) + i^(n+3) + i^(n+4) + i^(n + 5) + i^(n+6) + i^(n+7) = 0 .

1 + i^(2n) + i^(4n) + i^(6n)

The value of ((1+i)/(1-i))^(4 n)=