# Worksheet: Applications on Geometric Sequences

In this worksheet, we will practice solving real-world applications of geometric sequences, where we will find the common ratio, the nth term explicit formula, and the order and value of a specific sequence term.

**Q1: **

After falling, a rubber ball bounces back to of its previous height. Given that the ball fell from a height of 653 cm above the ground, find, to the nearest integer, the height it would reach after its second bounce.

**Q2: **

The population of a city is now 844,501 and increases at a constant rate of per year. Find the population after 8 years giving the answer to the nearest integer.

**Q3: **

The monthly salary of an employee this year is 2,100 LE. Find his salary after 8 years given he received a raise every year, giving the answer to the nearest pound.

**Q4: **

The value of a brand-new car which cost 498,300 LE decreases at a rate of every year. Find the price of the car after 8 years giving the answer to the nearest pound.

**Q5: **

On the first day, 42 liters of water are poured into a tank. Every day thereafter, three times as much water is poured into the tank as was poured on the previous day. On which day are 1,134 liters poured into the tank?

- A day 4
- B day 5
- C day 27
- D day 6
- E day 3