The number of cars produced by a factory each week forms an arithmetic sequence. In the first week the factory produces 135 cars. The number of cars produced will increase by 5 each week until the number of cars being produced reaches 215. The factory will then continue to produce 215 cars each week.
After how many weeks does the factory reach production of 215 cars per week.
Find the total number of cars produced in the first 60 weeks.
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.