I'm expected to proof by strong induction the following:
- Give proof (using strong induction) that every odd number is of the form 2n+1
I'm not sure how to approach this problem. Isn't this false because you can portray an odd number also as 2n-1?
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2No it's true. It means that every odd number can be expressed in this form, not that there's no other way to do it. – saulspatz Oct 09 '19 at 23:12
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You can write an odd number as $2n+1$ for some $n$ or as $2n-1$ for some (different) $n$. $13$ for instance is $2\times6+1$ and it is $2\times 7-1$. – lulu Oct 09 '19 at 23:12
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2How do you define "odd number"? – Paul Frost Oct 09 '19 at 23:14