# Homework Help: Iterative argument vs Mathematical Induction

1. Mar 3, 2009

### soopo

1. The problem statement, all variables and given/known data
Can you prove all statements of the form,
$$\forall n \geq 0, P(n)$$
by mathematical induction?

3. The attempt at a solution
I read that an iterative argument is effective way to prove statements at here:
http://dl.getdropbox.com/u/175564/physicsforums-problem.png [Broken]

The method is rather unknown to me.
I have mostly proved my statements either by mathematical induction, direct proof or by the proof by contradiction.

In other words, what are the main advantages of an iterative argument?
I have had an idea that mathematical induction is the same as as iterative
argument.

Last edited by a moderator: May 4, 2017