For all `n in N, 3.5^(2n+1)+ 2^(3n+1)` is divisble by-

For all n in N , 3.5^(2n+1) + 2^(3n+1) is divisible by

If n in N , then 3.5^(2n+1) + 2^(3n+1) is divisible by

Prove the following by using the principle of mathematical induction for all n in N n(n+1)(2n+1) is divisble by 6.

Prove by the principle of mathematical induction that for all n in N. (2^(3n)-1) is divisible by 7 for all n in N .

7^(2n)+16n-1(n""inNN) is divisble by

Prove the following by using the Principle of mathematical induction AA n in N 2^(3n-1) is divisble by 7.

Prove the following by using the Principle of mathematical induction AA n in N Given that 5^(n)-5 is divisble by 4 AA n in N .Prove that 2.7^(n)+3.5^(n)-5 is a multiple of 24.

Using binomial theorem for a positive integral index, prove that (2^(3n)-7n-1) is divisble by 49, for any positive integer n.

Let P(n) :n(n+1) (n+2) is divisble by 3. What is P(3)?