`(1+i)^(n)+ (1-i)^(n)` का मान होगा

If n is an odd integer, i= sqrt -1 then [ (1 + i)^(6n) + (1 - i)^(6n) ] is equal to

(1+i)^(2 n)+(1-i)^(2 n), n in z is

If n_1, n_2 are positive integers, then (1 + i)^(n_1) + ( 1 + i^3)^(n_1) + (1 + i^5)^(n_2) + (1 + i^7)^(n_2) is real if and only if :

If n_1, n_2 are positive integers, then (1 + i)^(n_1) + ( 1 + i^3)^(n_1) + (1 + i_5)^(n_2) + (1 + i^7)^(n_2) is real if and only if :

If n_1, n_2 are positive integers, then (1 + i)^(n_1) + ( 1 + i^3)^(n_1) + (1 + i_5)^(n_2) + (1 + i^7)^(n_2) is real if and only if :

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

किसी घनात्मक पूर्णांक n के लिए यदि, (1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6)) +(1)/(sqrt(6)+sqrt(7)) +..... + (1)/(sqrt(n)+sqrt(n+1))=5 है तो n का मान क्या होगा?

Show that (1-i)^(n)(1-(1)/(i))^(n)=2^(n) for all n in N