Question

Rohan dropped a penny from a building.

After each bounce, the height of the penny is measured and recorded in the table.

Bounce Number Height (cm) After Bounce
1 1,524
2 762
3 381
4 190.5
Write an explicit and recursive formula to represent the sequence of the height of the penny after each bounce.

What is the height of the penny after bounce 10? Explain your answer by using one of the formulas you created.

Answer 1

2.9765625 cm

Explanation:

the number seems to be halving each bounce.

1524*1/2^(n-1) = height

1524*1/2^9 is 2.9765625