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# Mathematical induction

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A.)
Use the Principle of Mathematical Induction to prove that n3 > n2 + 3 for all n &#8805; 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.

##### Solution Summary

This shows how to use mathematical induction in a proof. The principle of mathematical induction is proved.

##### Solution Preview

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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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