Show by using induction that for al natural numbers ` ngt2, 2^ngt2n+1`.

Show by using the principle of mathematical induction that for all natural number n gt 2, 2^(n) gt 2n+1

Prove by principle of Mathematical Induction that for all natural number in n(n+1)(n+2) is divisible by 6.

For natural number n , 2^n (n-1)!lt n^n , if

Prove the rule of exponents (ab)^(n)=a^(n)b^(n) by using principle of mathematical induction for every natural number.

Prove by the principle of mathematical induction that for all n in N,n^(2)+n is even natural number.

Prove the following by using the principle of mathematical induction. n(n+1)+1 is an odd natural number, n in N .

Show that 10^(2n-1)+1 is divisible by 11 for all natural numbers n.

Use the principle of mathematical induction to show that a^(n) - b^9n) is divisble by a-b for all natural numbers n.

A sequence b_(0),b_(1),b_(2), . . . is defined by letting b_(0)=5 and b_(k)=4+b_(k-1) , for all natural number k. Show that b_(n)=5+4n , for all natural number n using mathematical induction.