AA n in N,11^(n+2)+12^(2n+1)" is divisible by "

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

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.

AA n in N, 7.5^(2n ) + 12.6^(n) is divisible by

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

AA n in N, n^(2) (n^(4) -1) is divisible by

AA n in N,7.5^(2n)+12.6^(n) is divisible by

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

AA n in N, 49^(n) + 16n -1 is divisible by

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