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Proof by Deduction (Edexcel AS Maths) : Revision Note

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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 Tips and Tricks

  • 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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    Paul

    Author: Paul

    Expertise: Maths Content Creator (Previous)

    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.