Sophie will be paid a salary of £35000 in 2018. Each year Sophie will get a 3% pay rise, the first increase being in 2019, so that her salaries form a geometric sequence.
Find, to the nearest £100, Sophie's salary in 2020.
Find, to the nearest £100, the total amount Sophie will have earned from 2018 until she retires in 2037.
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.