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A LevelMaths: PureOCRRevision Notes1. Proof1.1 Proof1.1.2 Proof by Deduction

Proof by Deduction (OCR A Level Maths: Pure)

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Proof by Deduction

What is proof by deduction?

Proof by deduction is when a mathematical and logical argument is used to show whether or not a result is true

How to do proof by deduction

Proof by Deduction Notes Diagram 1, Edexcel A Level Maths: Pure revision notes

 You may also need to:

  • Write multiples of n in the form kn for some integer k
  • Use algebraic techniques, showing logical steps of simplifying
  • Use correct mathematical notation

Sets of numbers

  • ℕ - the set of natural numbers
  • ℤ - the set of integers
  • ℚ - the set of quotients/rational numbers
  • ℝ - the set of real numbers

 Proof by Deduction Notes Diagram 2, Edexcel A Level Maths: Pure revision notes

Examiner Tip

  • Try the result you are proving with a few values
    • Use a sequence of them (eg 1, 2, 3)
    • Try different types of numbers (positive, negative, zero)
  • This may help you see a pattern and spot what is going on

Worked example

Proof by Deduction Example, IGCSE & GCSE Maths revision notes

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    Previous:1.1.1 Language of ProofNext:1.1.3 Proof by Exhaustion
    Paul

    Author: Paul

    Expertise: Maths

    Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams – one of the many reasons he is excited to be a member of the SME team.