### Multiples of 3 and Consecutive Numbers

Numbers that are multiples of 3 are 3, 6, 9, 12, …. Problem Prove that numbers that are multiples of 3 can be expressed as sum of three consecutive numbers. Solution (2 out of 5 marks) 3 = 0 + 1 + 2 6 = 1 + 2 +3 9 = 2 + 3 +…

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