Tag: algebraic proof

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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Proofs of sum of two even numbers is even

Problem Show that the sum of two even numbers is also an even number. Solutions 1. Good for 1/5 mark 2 + 4 = 6      6 + 8 = 14, 2+8 = 10      20 + 30 = 50 24 + 10 = 34. There’s no two even number I can think…

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