Sarah is training for a marathon. In the first week, she runs 1.2 km. In the second week, she runs 1.5 km, and in the third week, she runs 1.8 km. She continues this pattern for 30 weeks. Her weekly distances form an arithmetic sequence.
Find the distance she runs in week 30.
Calculate her total distance run over the 30 week period.
308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, 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). Each one has a worked solution and a mark scheme showing where the marks go.