Sum of three consecutive integers is divisible by three?

yes always this is true'

example

1,2,3 sum is 6 and is divisible by 3

这个问题的答案是肯定的。假设这三个连续的整数为 \\(n\\)，\\(n+1\\)，和 \\(n+2\\)。它们的和为 \\(n + (n+1) + (n+2) = 3n + 3 = 3(n + 1)\\)。显然，这个和可以被3整除，因为它是3的倍数。