Is there a divisibility rule of 5?

Number Theory Level 1

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