Question

prove that one of every three consecutive positive integers is divisible by 3​

Answer 1

Step-by-step explanation:

.. In this case, n + 2 = 3 q + 1 + 2 = 3 n+2=3q+1+2=3 n+2=3q+1+2=3 is divisible by 3 but n and n + 1 n+1 n+1 are not divisible by 3.

Answer 2

Answer:

here is answer

Step-by-step explanation:

Let n,n+1,n+2 be three consecutive positive integers. ... In this case, n+1=3q+1+2=3(q+1) is divisible by 3 but n and n+2 are not divisible by 3. Hence one of n,n+1 and n+2 is divisible by 3.