A runner is following a training program to increase their daily distance. On Day 1, they run 1500 metres. Each day, their distance increases by 300 metres until they reach a daily distance of 4500 metres. They then maintain this distance of 4500 metres for each subsequent day of training.
After how many days does the runner first reach the distance of 4500 metres?
Calculate the total distance, in metres, run by the runner in the first 4 weeks (28 days).
Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only), 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.
