The intensity levels of a signal at three consecutive nodes in a fiber-optic circuit are recorded as k units, (2k+3) units, and (2k+14) unitsk \text{ units}, \, (2k + 3) \text{ units}, \text{ and } (2k + 14) \text{ units}k units,(2k+3) units, and (2k+14) units, where kkk is a real constant.
Use proof by contradiction to show that these intensity levels cannot form a geometric sequence.
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.
