Charlie is training to run a marathon. Each week he goes for one long run. In Charlie's first long run he runs 10 km. He then increases the length of his long run by 2 km each week. A marathon is 42 km.
Find the number of weeks it takes until Charlie's long run is a full marathon.
Find the number of weeks until the total length of all Charlie's long runs first exceeds 200 km.
200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.