(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Can you prove all statements of the form,

[tex] \forall n \geq 0, P(n) [/tex]

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Iterative argument vs Mathematical Induction

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**