Time For Proof By Exhaustion

Which of the following statements are true?

(A): The sum of any 2 consecutive integers is divisible by 2.
(B): The sum of any 3 consecutive integers is divisible by 3.
(C): The sum of any 4 consecutive integers is divisible by 4.
(D): The sum of any 5 consecutive integers is divisible by 5.

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