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How do you call this type of math...
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Vilkku
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RE: How do you call this type of math...
Cookie: In Dutch it's called "inductie" (used Wikipedia to get it).
It's a special kind of math, so I suggest you don't start doubting :P

Example:
Show that 1+2+3+...+n = (n(n+1))/2 is true when n is a positive integer.

You would solve that this way:
1. n=1, both sides equal 1, so it's true.
2. Assume that it is true for n=k, so if it is true for k+1 we have prooven it's always true.
3. We prooved that 1+2+3+...+k is (k(k+1))/2 is the first step, so we can replace the set of numbers with that expression. We get
(k(k+1))/2 + (k+1) = ((k+1)(k+2))/2
Then you solve the right and left side separately, in this both are
(1/2)k^2 +  (3/2)k + 1
We have now prooven it's true using induction :)

This post was edited on 11-11-2006 at 12:41 PM by Vilkku.
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Messages In This Thread
How do you call this type of math... - by .Roy on 11-08-2006 at 03:42 PM
RE: How do you call this type of math... - by John Anderton on 11-08-2006 at 03:45 PM
RE: How do you call this type of math... - by .Roy on 11-08-2006 at 03:54 PM
RE: RE: How do you call this type of math... - by Jesus on 11-08-2006 at 04:20 PM
RE: How do you call this type of math... - by qgroessl on 11-08-2006 at 05:10 PM
RE: How do you call this type of math... - by CookieRevised on 11-08-2006 at 07:03 PM
RE: How do you call this type of math... - by .Roy on 11-08-2006 at 08:07 PM
RE: How do you call this type of math... - by Voldemort on 11-09-2006 at 12:00 AM
RE: How do you call this type of math... - by Rubber Stamp on 11-10-2006 at 01:35 PM
RE: How do you call this type of math... - by Vilkku on 11-11-2006 at 12:40 PM


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