SOLUTION: Why do consecutive numbers always have the sum of an odd number?

SOLUTION: Why do consecutive numbers always have the sum of an odd number?

Algebra.Com

Question 400452: Why do consecutive numbers always have the sum of an odd number?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Because one of the numbers must be 0 mod 2, and the other must be 1 mod 2. Their sum is congruent to 1 mod 2, so the sum is always odd.
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