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Proof by Induction

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An induction proof of a formula consists of three parts. a) Show the formula is true for . b) Assume the formula is true for . c) Using b), show the formula is true for .

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For c), the usual strategy for a summation is to manipulate into the form .

Induction is a method for checking a result; discovering the result may be hard.

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Contributed by: Ed Pegg Jr (June 2007)
Open content licensed under CC BY-NC-SA

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