An experimental study of fluid dynamics uses a parameter β\betaβ to model the flow rates at three specific pressure points. The flow rates are given by the expressions β\betaβ, 2β+12\beta + 12β+1, and 3β+33\beta + 33β+3, where β\betaβ is a real constant. Use proof by contradiction to show that it is impossible for these flow rates to form a geometric progression.
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.
