Edexcel Paper 1 2021 October — Question 5

Exam BoardEdexcel
ModulePaper 1 (Paper 1)
Year2021
SessionOctober
TopicGeometric Sequences and Series

  1. In this question you should show all stages of your working.
\section*{Solutions relying entirely on calculator technology are not acceptable.} A company made a profit of \(\pounds 20000\) in its first year of trading, Year 1
A model for future trading predicts that the yearly profit will increase by \(8 \%\) each year, so that the yearly profits will form a geometric sequence. According to the model,
  1. show that the profit for Year 3 will be \(\pounds 23328\)
  2. find the first year when the yearly profit will exceed £65000
  3. find the total profit for the first 20 years of trading, giving your answer to the nearest £1000