Question

A ball is dropped vertically from a height of 100 meters. After each bounce, the ball reaches a maximum height equal to 75 percent of maximum height of the previous bounce.
a) write the first three terms of the sequence. explain how you know what they are.
b) find the height to the nearest tenth of a meter of the ball after the sixth bounce. show and explain your work

Answer 1

After the 1st bounce it would be 48 meters. 80*.6
After the 2nd bounce it would be 28.8.80*.6*.6
After the 3rd bounce it would be 17.28. 80*.6*.6*.6
After the 8th bounce it would be 1.3. 80*.6*.6*.6*.6*.6*.6*.6*.6
Answer=1.3