
Step-by-step explanation:
On the 1st bounce, height = 6.7 feet
We were not given the inital height of the ball before the 1st bounce
2nd bounce:
height = 0.81 of the previous bounce
height = 0.81(6.7)
3rd bounce:
height = 0.81 of the previous bounce
previous bounce = 0.81(6.7)
height = 0.81(0.81 × 6.7)
We can derive a formula for the nth bounce:

For the sixth bounce, height:
