Mathematical induction
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A.)
Use the Principle of Mathematical Induction to prove that n3 > n2 + 3 for all n ≥ 2.
b.)
Use mathematical induction to prove that every amount of postage of six cents or more
can be formed using 3-cent and 4-cent stamps.
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Solution Summary
This shows how to use mathematical induction in a proof. The principle of mathematical induction is proved.
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a) Show using Principle of Mathematical Induction that:
For n=2:
Therefore true for n=2.
Now if n=k was true then show for n=k+1. If n=k then , so let's start with
Therefore true for n=k+1
Thus ...
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