If `n` is a positive integer show that `(n+1)^2+(n+2)^2+....4n^2=n/6(2n+1)(7n+1)`

If 'n' is a positive integer,then n.1+(n-1).2+(n-2).3+...+1.n=

If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n) = 2 ^((n+2)/2) cos ((npi)/4) .

If 'n' is a positive integer, then n.1+ (n-1) . 2+ (n-2). 3+….. + 1.n=

If n is a positive integer prove that (1+i)^(2n)+(1-i)^(2n)=2^(n+1)cos((n pi)/(2))

If n is an odd positive integer, show that (n^2-1) is divisible by 8.

If n is an odd positive integer, show that (n^2-1) is divisible by 8.

If n is a positive integer, show that ( P + iQ)^(1//n) + ( P - iQ)^(1//n) = 2 ( P^(2) + Q^(2))^(1//2n) cos (1/n , tan . Q/P) .

If n is a positive integer,then show tha 3^(2n+1)+2^(n+2) is divisible by 7.

If n is a positive integer, then show tha 3^(2n+1)+2^(n+2) is divisible by 7 .