1.4 - 2013 JUNE Q9
9) n - 1, n and n + 1 are any three consecutive integers.
i) Show that the sum of these integers is always divisible by 3. (1)
ii) Find the sum of the squares of these three consecutive integers and explain how this shows that the sum of the squares of any three consecutive integers is never divisible by 3. (3)
i) Show that the sum of these integers is always divisible by 3. (1)
ii) Find the sum of the squares of these three consecutive integers and explain how this shows that the sum of the squares of any three consecutive integers is never divisible by 3. (3)