Proof (Edexcel GCSE Maths): Flashcards

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Proof
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Even number algebraic form

2n2n (where nn is any integer)

Odd number algebraic form

2n+12n + 1 (where nn is any integer)

Consecutive numbers algebraic form

nn, n+1n + 1, n+2n + 2, etc.

Main requirement of proof questions

Rearrange expressions to show one thing equals another

Identity symbol meaning

Equal for all possible values of the variable

Counterexamples needed to disprove

Only one

Proving general statements technique

Use algebraic representations and manipulation

Disproving statements technique

Find one counterexample where statement fails

Sum of three odd numbers result

Always odd

Three different odd numbers representation

2a+12a + 1, 2b+12b + 1, 2c+12c + 1

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