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Proof

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Question 14
a.

Expand and simplify (3n+1)2−(3n−1)2(3n + 1)^2 - (3n - 1)^2(3n+1)2−(3n−1)2.

[2]
b.

Hence prove that (3n+1)2−(3n−1)2(3n + 1)^2 - (3n - 1)^2(3n+1)2−(3n−1)2 is always a multiple of 12, for all positive integer values of nnn.

[1]
Markscheme

Proof Questions

  1. GCSE
  2. /Maths
  3. /Proof

207 exam-style questions on CCEA GCSE Maths Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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