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Why can checking many examples not prove a universal statement?
A
a2a^2a2 is even, so aaa is even.
B
Examples do not cover every case allowed by the conditions.
C
If NNN is prime, it is a prime missing from the list. If NNN is composite, it has a prime factor missing from the list.
D
If n=2k+1n=2k+1n=2k+1, then n2=2(2k2+2k)+1n^2=2(2k^2+2k)+1n2=2(2k2+2k)+1, showing that n2n^2n2 is odd.
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3.1.1 Proof (A-level only) Flashcards
22 flashcards on WJEC A Level Maths 3.1.1 Proof (A-level only): the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4.