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.
Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 100 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.