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 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.