Bob saves some money every week. He saves £22 in week 100, £21.80 in week 99, £21.60 in week 98, and so on until week 1. His weekly savings form an arithmetic sequence.
Find the amount he saves in week 1.
Calculate his total savings over the 100 week period.
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.