Given that n∈Nn \in \mathbb{N}n∈N, use algebra to prove by contradiction that
“if n2+6n+3 is even, then n is odd” \text{“if } n^2 + 6n + 3 \text{ is even, then } n \text{ is odd”} “if n2+6n+3 is even, then n is odd”Practise AQA A Level Maths 1.4 A: Proof with exam-style questions for A Level Maths. 107 questions covering 1.4.1 Structure and methods of proof, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.