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# Prove n^3+5n is divisible by 3 watch

1. How do I do this?
2. Induction
3. proof by induction
4. Alternate method to induction (probably not what the OP is looking for but I'll post it anyway!)

and is the product of three consecutive integers...
5. Alternate method to induction and inspection:

If is div. by 3 then for all .

More specifically, and is either 0, 1, or 2 so just test these values in the eq. above to see if it holds true.

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Updated: February 6, 2018
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