Is there a divisibility rule of 5?

\(1 + 2 + 3 + 4 + 5 = 15 \) is divisible by 5.
\(7 + 8 + 9 + 10 + 11 = 45\) is divisible by 5.
\(23 + 24 + 25 + 26 + 27 = 125\) is divisible by 5.

Is it true that the sum of any 5 consecutive integers is divisible by 5?

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