Discrete Math True or false the sum of any three consecutive

Discrete Math:

True or false: the sum of any three consecutive integers is divisible by 3. (Two integers are consecutive if, and only id, one is more than the other.)

a) True

b) False

Solution

let x = the first number
the second consecutive # = x+1
the third consecutive # = x+2

\"the sum of 3 consecutive numbers divisible by 3\"
= x + x+1 + x+2
= 3x + 3
= 3(x+1)

which is divisible by 3.

so ans is true