SOLUTION: Prove that when 2 is subtracted from the sum of 3 consecutive numbers you always get 3 times a square number.

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Question 882770: Prove that when 2 is subtracted from the sum of 3 consecutive numbers you always get 3 times a square number.
Answer by Alan3354(69443) About Me  (Show Source):
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Prove that when 2 is subtracted from the sum of 3 consecutive numbers you always get 3 times a square number.
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Sum of 3 consecutive #s = 3n
3n - 2 =? a square number.
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Do an example:
Sum of 18, 19 & 20 = 57
57 - 2 = 55
55 is not 3 times a square number.
False.