Show that one and only one out of `n,n+2 or n+4` is diviseble by 3, where n is any positive integer.

Show that one and only one out of n, n +2 or n+4 is divisible by 3, where n is any positive integer.

Show that one and only one out of n, n + 2 or n + 4 is divisible by 3, where n is any positive integer

Solve (x - 1)^n =x^n , where n is a positive integer.

Prove that the function f(x)= x^(n) is continuous at x= n, where n is a positive integer.

By mathematical induction, show that 49^n+16n-1 is divisible by 64 for all positive integer n.

Prove that 2^(n) gt n for all positive integers n.

By Mathematical Induction , show that 49^(n)+16n-1 is divisible by 64 for all positive Integer n .

Find the condition that one root of the quadratic equation ax^(2)+bx+c=0 shall be n times the other, where n is positive integer.