3. A company predicts a yearly profit of \(\pounds 120000\) in the year 2013 . The company predicts that the yearly profit will rise each year by \(5 \%\). The predicted yearly profit forms a geometric sequence with common ratio 1.05
- Show that the predicted profit in the year 2016 is \(\pounds 138915\)
- Find the first year in which the yearly predicted profit exceeds \(\pounds 200000\)
- Find the total predicted profit for the years 2013 to 2023 inclusive, giving your answer to the nearest pound.