SOLUTION: Give sufficient examples to convince someone that the sum of three consecutive integers will always be a multiple of 3.Note:0 is a multiple of 3 x 0.

Question 278350: Give sufficient examples to convince someone that the sum of three consecutive integers will always be a multiple of 3.Note:0 is a multiple of 3 x 0.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if we let x = the number, then we get

x + x + 1 + x + 2 = 3x + 3

we can always divide 3x + 3 by 3 to get x + 1.

not only is the number divisible by 3, but it will always be the middle number in the sequence.

some examples:

1 + 2 + 3 = 6 / 3 = 2

17 + 18 + 19 = 54 / 3 = 18

153 + 154 + 155 = 462 / 3 = 154

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