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).
326 exam-style questions on Edexcel A Level Maths Sequences and Series, covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series. Each one has a worked solution and a mark scheme showing where the marks go.