SOLUTION: is this always, sometimes or never true? the sum of 3 consecutive odd integers equals an even integer.

SOLUTION: is this always, sometimes or never true? the sum of 3 consecutive odd integers equals an even integer.

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Question 508028: is this always, sometimes or never true? the sum of 3 consecutive odd integers equals an even integer.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It is never true
An odd number is always:
even + 1
So 2 odd numbers are:
even + 1 + even + 1 = 2 x even + 2
which is obviously even
Now to an even number you add an odd, which is
even + 1
Now you have
even + even + 1 = even + 1
which is always odd
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