Value of expression `5n^2 - 20n` at `n = 2` is:

The expression 5^(2n) - 2^(3n) has a factor

What is the limiting value of the expression ({(n +1) (n+2).....(2n)} ^(1/n))/(n) when n tends to infinity ?

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

For what values of m and n , the expression 2x^(2)-(m+n)x+2n is exactly divisible by (x-1) and (x-2) ?

For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+......n*n xx))) is