Edexcel C1 — Question 6

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
TopicArithmetic Sequences and Series

6. Each year, for 40 years, Anne will pay money into a savings scheme. In the first year she pays \(\pounds 500\). Her payments then increase by \(\pounds 50\) each year, so that she pays \(\pounds 550\) in the second year, \(\pounds 600\) in the third year, and so on.
  1. Find the amount that Anne will pay in the 40th year.
  2. Find the total amount that Anne will pay in over the 40 years. Over the same 40 years, Brian will also pay money into the savings scheme. In the first year he pays in \(\pounds 890\) and his payments then increase by \(\pounds d\) each year. Given that Brian and Anne will pay in exactly the same amount over the 40 years,
  3. find the value of \(d\).