If `3^(2n+2)-8n-9` is divisible by 'k' for all `n in N` is true, then which one of the following is a value of 'k'?a)8 b)6 c)3 d)12

Show that 9^(n+1)-8n-9 is divisible by 64.

Given P(n):3^(2n) -1 is divisible by 8 Check whether P(1) is true.

If x^(2)+2x+ngt10 for all real number x , then which of the following conditions is true ? a) nlt11 b) n=10 c) n=11 d) ngt11

Given P(n):3^(2n) -1 is divisible by 8. If P(k) is true then prove P(k+1) is true.

(b) P(n):7^n-3^n is divisible by 4,then find P(2) .

(a)Prove that 3^(2n)-1 is divisible by 8.

If 9^(7)-7^(9) is divisible by 2^(n) , then find the greatest value of n, where n in N .

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Prove the statement using the principle of mathematical induction for all natural numbers.

10^(n) +3(4^(n+2) )+5 is divisible by (n in N): a)7 b)5 c)9 d)17

(a) P(n):n(n+1)(n+2) is divisible by 6,then find P(3) .