# Math Help - Proving Inequalities with exponents by means of MI.

1. ## Proving Inequalities with exponents by means of MI.

Using mathematical induction, prove that for all integers $n\geq3$,
$(n+1)^n.

2. ## Re: Proving Inequalities with exponents by means of MI.

Originally Posted by Kaloda
Using mathematical induction, prove that for all integers $n\geq3$,
$(n+1)^n.
What is the first step in this proof? You can at least do that.

3. ## Re: Proving Inequalities with exponents by means of MI.

Originally Posted by Plato
What is the first step in this proof? You can at least do that.
Haha. Of course I do. I'm good in proving equality statements, i.e. sequence and summations,
using mathematical induction but not inequalities like this one.

What I did was I assumed that $k^{k-1}<(k-1)^k$ and then I tried to prove $(k+1)^k.