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Duane O'Hara

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3y ago
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8y ago

Let the middle number be x; then:

the three consecutive (whole) numbers are (x-1), x, (x+1)

And their sum is (x-1) + x + (x+1) = x + x + x -1 + 1 = 3x, which is three times the middle number.

Thus the sum of any three consecutive (whole) numbers is three times the middle number.

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Q: Why is 3 consecutive numbers added together the same as the number in the middle times 3?
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