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Proof

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Question 138
a.

Show that (2n+3)2−(2n−3)2=24n(2n + 3)^2 - (2n - 3)^2 = 24n(2n+3)2−(2n−3)2=24n.

[2]
b.

Hence prove that (2n+3)2−(2n−3)2(2n + 3)^2 - (2n - 3)^2(2n+3)2−(2n−3)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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