Question

prove that one of every 3 comsecutive positive integer divisible by 3

Answer 1

yes it is true.
here is the explanation.
let the first number be x
second no be x+1
third no be x+2.
by equation,
x+x+1+x+2=3x+3
3x+3=3(x+3)
by these definitely three consecutive numbers divide by 3.