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Proof

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Question 17
a.

n n\,n is an integer. Expand and simplify (n+2)(n+1)+n+2(n + 2)(n + 1) + n + 2(n+2)(n+1)+n+2.

[1]
b.

Hence prove algebraically that the sum of (n+2)(n+1)(n + 2)(n + 1)(n+2)(n+1) and n+2n + 2n+2 is always a square number.

[1]
Markscheme

Proof Questions

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

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