Prove that the sum of any three consecutive integers is divisible by 3. 1. Many computer programming languages have the mod operation as a built-in feature. For example, the % sign in C is the mod...

Prove that the sum of any three consecutive integers is divisible by 3.

1. Many computer programming languages have the mod operation as a built-in feature. For example, the % sign in C is the mod operation. In C the result of x = 53%10; is to assign the value 3 to the

variable x. Investigate how various languages deal with the mod operation in cases where the second number is zero or negative.