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Proof by Deduction (OCR A Level Maths: Pure)
Revision Note
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
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
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
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