Prove by mathematical induction that for every natural number n, `3^(2n+2)-8n-9` is divisible by 8 for all n `ge`1.

Answer

which is divisble by 8.this implies tht P(k+1) is true . This means that the validity of P(k+1) follows from that of P(k). Therefore by the principle of amthematical induction, `3^(2n+2)-8n-9` is divisible by 8 for all n `ge` 1.