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In a repeating sequence of integers the sum of any group of concurrent integers of the same length as the pattern will always be the same.

IE:

1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 ...

5 + 1 + 2 + 3 + 4 = 15
1 + 2 + 3 + 4 + 5 = 15
4 + 5 + 1 + 2 + 3 = 15

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Commutative property of addition

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