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Proof

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Question 35
a.

Expand and simplify

(n+1)2−n2. (n+1)^2-n^2. (n+1)2−n2.
[1]
b.

Hence, prove that for any two consecutive integers n n\,n and n+1n+1n+1, the ordered difference between their squares,

(n+1)2−n2, (n+1)^2-n^2, (n+1)2−n2,

is equal to the sum of these integers.

[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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