SOLUTION: Show that the sum of any three consecutive numbers is a multiple of 3. Show that the sum of any four consecutive numbers is always even.

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Question 878328: Show that the sum of any three consecutive numbers is a multiple of 3.
Show that the sum of any four consecutive numbers is always even.

Answer by Alan3354(69443) About Me  (Show Source):
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Show that the sum of any three consecutive numbers is a multiple of 3.
n-1 + n + n+1 = 3n
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Show that the sum of any four consecutive numbers is always even.
2n + 2n+1 + 2n+2 + 2n+3 = 8n + 6