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Topic: [MATHEDU] Diagrams and formal arguments
Replies: 32   Last Post: Sep 21, 1998 8:02 AM

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 Lou Talman Posts: 876 Registered: 12/3/04
Re: [MATHEDU] Diagrams and formal arguments
Posted: Sep 17, 1998 3:53 PM

Bob Burn wrote:

> In this particular case look at the difference between (n+1)^3 - (n+1)

> and n^3 - n. The difference has a factor 3, so "and so on" actually

> works!

But why would anyone use induction here? After all, whatever the
positive number n may be, n^3 - n = (n - 1) n (n + 1) is the product of
three consecutive whole numbers, and so has a multiple of 3 as a factor.

--Lou Talman

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Date Subject Author
9/14/98 David Epstein
9/14/98 Robert Low
9/14/98 Martin Flashman
9/14/98 Michael Livshits
9/14/98 Jerry Uhl
9/15/98 David Epstein
9/15/98 Jerry Uhl
9/14/98 David W. Henderson
9/15/98 David Epstein
9/15/98 Robert Low
9/15/98 Judy Roitman
9/15/98 David Epstein
9/15/98 Judy Roitman
9/15/98 Terry Gagen
9/16/98 Leo Butler
9/16/98 Ralph A. Raimi
9/17/98 Robert P. Burn
9/16/98 Yair Minsky
9/16/98 Kazimierz Wiesak
9/14/98 Ralph A. Raimi
9/14/98 Kazimierz Wiesak
9/15/98 Jon Roberts
9/15/98 Robert P. Burn
9/15/98 Matthias Kawski
9/15/98 Brian M. Scott
9/17/98 Jerry Uhl
9/15/98 Matthias Kawski