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Proof by Induction
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
.
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.
Contributed by:
Ed Pegg Jr
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Principle of Mathematical Induction
(
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MathWorld
)
PERMANENT CITATION
Ed Pegg Jr
"
Proof by Induction
"
http://demonstrations.wolfram.com/ProofByInduction/
Wolfram Demonstrations Project
Published: June 15, 2007
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