Question

The product of any three consecutive number is always divisible by 6. Give examples and justify your answer​

Answer 1

Step-by-step explanation:

My answer: True. Suppose n is a natural number, such that the 3 consecutive natural numbers is n,n+1,n+2. Then,

n(n+1)(n+2)6=1(1+1)(1+2)6=66=1

Thus, n(n+1)(n+2) is divisble by 6.