1.. () 52n + 2 - 24n-25 is always divisible by 576.

n ( n+1) ( n+2) is always divisible by ?

Applying the principle mathematical induction (P.M.I.) show that 5^(2n+2)-24n-25 is always divisible by 576 where n is a natural number.

5^(2n+2)-24n+25 is divisible by 576

For ninN 2^(3n)-7n-1 is always divisible by

5^(n)-1 is always divisible by (n in N)

5^(n)-1 is always divisible by (n in N)

If m and n are two integers such that m = n^(2) - n , then (m^(2) - 2m) is always divisible by

AA n in N, 5^(2n+2) - 24n - 25 is divisible by