A geometric series has first term a a\,a and common ratio rrr. Prove that the sum of the first n n\,n terms of the series is
a(1−rn)1−r. \frac{a(1 - r^n)}{1 - r}. 1−ra(1−rn).Mr King will be paid a salary of £35 000 in the year 2005. Mr King's contract promises a 4% increase in salary every year, the first increase being given in 2006, so that his annual salaries form a geometric sequence. Find, to the nearest £100, Mr King's salary in the year 2008.
Mr King will receive a salary each year from 2005 until he retires at the end of 2024. Find, to the nearest £1000, the total amount of salary he will receive in the period from 2005 until he retires at the end of 2024.
Practise Edexcel A Level Old Maths Sequences and Series with exam-style questions for A Level Old Maths. 10 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.