Bertie makes payments into a savings account every month. He pays in £300 in the first month and the amount he pays increases by £40 each subsequent month. Charlotte also makes payments into a savings account. She pays in £500 in the first month and the amount she pays in increases by £20 each subsequent month.
After how many months have Bertie and Charlotte paid in the same amount in total.
Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions 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), matched to the AQA A Level Maths (7357) 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.