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

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

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

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

Prove, by Mathematical Induction, that for all n in N, 3^(2n)-1 is divisible by 8.

For all n in N, 7^(2n)-48n-1 is divisible by

For all n in N, 7^(2n)-48n-1 is divisible by

For all n in N,41^(n)-40n-1 is divisible by _________

Prove the following by the method of induction for all n in N : (2^(3n) -1) is divisible by 7.

For all n in N,2^(4n)-15n-1 is divisible by

Prove the following by the method of induction for all n in N : 3^n - 2n - 1 s divisible by 4.