If n is as natural number, using mathematica induction show that: ` n^7-n` is a multiple of 7.

Show by using mathematical induction that n^(5) -n is multiple of 5.

using Mathematical induction,prove that 3^(2n)+7 is divisible by 8.

Using the principle of mathematical induction prove that 41^(n)-14^(n) s a multiple of 27.

Using the principle of mathematical induction , prove that for n in N , 41^(n) - 14^(n) is a multiple of 27.

Use mathematical induction to show that 1+3+5+…+ (2n-1) = n^(2) is true for a numbers n.

Prove the following by using the principle of mathematical induction for all n in Nvdots41^(n)-14^(n) is a multiple of 27

Using principle of mathematical induction, prove that for all n in N, n(n+1)(n+5) is a multiple of 3.

If n is a natural number then show that 1.3.5.7…..(2n-1) = ((2n)!)/(2^n n!)

Prove the following by using the principle of mathematical induction for all n in Nvdotsn(n+1)(n+5) is a multiple of 3.

If n is a natural number then show that n! + (n+1)! = (n+2)n!