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.
107 exam-style questions on OCR A Level Maths 1.1 Proof, covering 1.1.1 Structure of mathematical proof, 1.1.2 Logical connectives, 1.1.3 Disproof by counter example, 1.1.4 Proof by contradiction (A-level only), and 1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.