Question

Show that the sum of any three consecutive even numbers is divisible by 6

Answer 1

pls do let me know if my answer is right

Answer 2

Step-by-step explanation:

Let three consecutive even numbers be $2n-2$ , $2n$ and $2n+2$

their sum is $S=(2n-2)+(2n)+(2n+2)=6n$

which is divisible by 6

Hence the sum of any 3 consecutive even numbers is divisible by 6.