Sophie will be paid a salary of £36000 in 2018. Each year Sophie will get a 2% 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 and the total amount Sophie will have earned from 2018 until she retires in 2037.
326 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.