Question

Q3. Prove that one of any three consecutive positive integers must be
divisible by 3.​

Answer 1

Step-by-step explanation:

Let three consecutive positive integers be n, n + 1 and n + 2. Whenever a number is divided by 3, the remainder obtained is either 0 or 1 or 2. ∴ n = 3p or 3p + 1 or 3p + 2, where p is some integer. If n = 3p, then n is divisible by 3.