Edexcel C12 2015 January — Question 12

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2015
SessionJanuary
TopicGeometric Sequences and Series

12. A business is expected to have a yearly profit of \(\pounds 275000\) for the year 2016. The profit is expected to increase by \(10 \%\) per year, so that the expected yearly profits form a geometric sequence with common ratio 1.1
  1. Show that the difference between the expected profit for the year 2020 and the expected profit for the year 2021 is \(\pounds 40300\) to the nearest hundred pounds.
  2. Find the first year for which the expected yearly profit is more than one million pounds.
  3. Find the total expected profits for the years 2016 to 2026 inclusive, giving your answer to the nearest hundred pounds.