Modelling with sequences and seriesAQA A-Level Maths: Mind map

Exam questions on Modelling with sequences and series

1. A company's profit in year $1$ is £$40\,000$ and it increases by £$5\,000$ each year.
   Find the first year in which the profit exceeds £$200\,000$.2 marks
2. A ball is dropped from a height of $2$ m. After each bounce it rises to $70\%$ of the height from which it last fell.
   Find the total distance travelled by the ball before it comes to rest.2 marks
3. A person invests £$1000$ at the start of year $1$ and a further £$1000$ at the start of each following year. Interest of $4\%$ per year is added at the end of each year.
   Find the total value of the investment at the end of year $5$, to the nearest pound.3 marks