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

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: is this always, sometimes or never true? the sum of 3 consecutive odd integers equals an even integer.      Log On


   

Question 508028: is this always, sometimes or never true? the sum of 3 consecutive odd integers equals an even integer.
Answer by josmiceli(19441) About Me  (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