Question

Prove that the sum of three successive even integers is always a multiple of 6.​

Answer 1

if you see three consecutive numbers you can figure out that at least one of them is divisible by 6

Explanation:

you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.