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Iterative argument vs Mathematical Induction

  1. Mar 3, 2009 #1
    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.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
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