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EVERY three consecutive numbers add to a multiple of 3:

Proof: numbers are n, n + 1 and n + 2. The total is 3n + 3 or 3(n + 1)

This means that for any three consecutive numbers, the total is 3 times the middle number.

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Q: Three consecutive numbers that add up to a multiple of three?
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Why 35 and 7 are the only three consecutive odd prime numbers?

If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.


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