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Here are some consecutive odd integers. All must follow this form: x+x+2+x+2=3x + 6

6 is divisible by 3. So is 3x. If you add two integers that are divisible by 3, it is still divisible by three.

The question is not about odd integers, but consecutive integers.

This should be x + x+1 + x+2 =3x+3

A bit simpler would be the three in a row : x-1, x, x+1 which add up to 3x which can be divided by 3.

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Q: Explain why the sum of three consecutive integers is divisible by three?
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