A person starts a savings plan. In the first week, they save £10. Each week, the amount they save increases by £2 until they reach a weekly savings amount of £30. They then continue to save £30 each week.
In which week does the savings amount first reach £30?
Find the total amount saved after exactly one year (52 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.