SOLUTION: does the sum of three consecutive odd integers equal an even integer

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Question 796181: does the sum of three consecutive odd integers equal an even integer
Answer by tommyt3rd(5050) About Me  (Show Source):
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No, never. A sum of any three odd numbers will be odd:
{2n+1) + (2m+1) + (2p+1)= 2(n+m+p)+2 + 1