" 47.For a positive integer "n," find the value of "(1-i)^(n)(1-(1)/(i))^(n)

For a positive integer n , find the value of ( 1-i)^n(1-1/i)^ndot

For a positive integer n , find the value of (1-i)^n(1-1/i)^ndot

For a positive integer n, what is the value of i^(4n+1) ?

For any positive integer n, find the value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)+i^(n+4)+i^(n+5)+i^(n+6)+i^(n+7) .

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 .

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

If I_(n)=int_(0)^((pi)/(4))tan^(n)thetad theta , for any positive integer n, then the value of n(I_(n-1)+I_(n+1)) is -

If rArr I_(n)=int_(0)^(pi//4) tan ^(n)x dx , then for any positive integer, n, the value of n(I_(n+1)+I_(n-1)) is,

For positive integer n_1,n_2 the value of the expression (1+i)^(n1) +(1+i^3)^(n1) (1+i^5)^(n2) (1+i^7)^(n_20), where i=sqrt-1, is a real number if and only if (a) n_1=n_2+1 (b) n_1=n_2-1 (c) n_1=n_2 (d) n_1 > 0, n_2 > 0