" Show that "11^(n+2)+12^(2n+1)" is divisible by "133

10^(2n-1)+1 is divisible by 11.

Prove by mathematical induction that (11^(n+2)+12^(2n+1)) is divisible by 133 for all non-negative integers.

Prove the following by using the principle of mathematical induction for all n in N 11^(n+2)+ 12^(2n+1) is divisible by 133.

By Mathematical Induction, prove the following: (i) (4^(n) + 15n - 1) is divisible by 9, (ii) (12^(n) + 25^(n – 1)) is divisible by 13 (iii) 11^((n + 2)) + 12^((2n + 1)) is divisible by 133 for all ninN

If [12^(n)+25^(n-1)] is divisible by 13, then show that [12^(n+1)+25^(n)] is also divisible by 13.

Show that 2^(2n) + 1 or 2^(2n)-1 is divisible by 5 according as n is odd or even.

Using mathematical induction to show that p^(n+1) +(p+1)^(2n-1) is divisible by p^2+p+1 for all n in N

((n+2)!)/( (n-1)!) is divisible by