Proof by Deduction (AQA A-Level Mathematics): Flashcards

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Proof by Deduction
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Purpose of proof in maths

Test whether statements are true or not

Proof by deduction definition

Deducing new true statements from statements already known to be true

⇒\Rightarrow symbol meaning

Implies that; direct consequence

⇔\Leftrightarrow symbol meaning

If and only if (iff); double-way implication

Form of an even number

2n2n where nn is an integer

Form of an odd number

2n+12n+1 where nn is an integer

How to prove a number is even

Show it can be written as 2A2A (multiple of 2)

How to prove a number is odd

Show it can be written as 2A+12A+1

Variables for consecutive numbers in proof

Use same letter (e.g., nn and n+1n+1)

Variables for different numbers in proof

Use different letters (e.g., 2n2n and 2m2m)

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