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Question 8

Given that n n\,n is an integer and

n2+(n+1)2=2(n2+n)+1, n^2 + (n + 1)^2 = 2(n^2 + n) + 1, n2+(n+1)2=2(n2+n)+1,

prove that the sum of the squares of any two consecutive integers is always an odd number.

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Proof Questions

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

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