Prove that for `n in N ,10^n+3. 4^(n+2)+5` is divisible by `9` .

Prove by using the principle of mathematical induction that for all n in N, 10^(n)+(3xx4^(n+2))+5 is divisible by 9 .

If n in N , then 3^(2n)+7 is divisible by

For all n in N , 4^(n)-3n-1 is divisible by

10^n+3(4^(n+2))+5 is divisible by (n in N)

Prove that for any natural numbers n, 7^(n)-2^(n) is divisible by 5.

9^(n)-8^(n)-1 is divisible by 64 is

Prove by the principle of induction that for all n N ,\ (10^(2n-1)+1) is divisible by 11.

Using Mathematical induction, prove that 10 ^(n)+3.4^(n+2)+5 is divisible by 9 for all ninN .

Prove the following by using the principle of mathematical induction for all n in N : 3^(2n+2)-8n-9 is divisible by 8.

For all n in N, 3n^(5) + 5n^(3) + 7n is divisible by