3. A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 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 eighth bounce. Show and explain your work.

Question

3.	A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 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 eighth bounce. Show and explain your work.

imsaucin01 · Answer

@sonicthehedgehog @steve816 @mathmate  can you help me please

error1603 · Answer

After 1st bounce => 80(0.6) = 48 metres 

2nd bounce => 80(0.6)(0.6) = 80(0.6)² = 28.8 metres 

3rd => 80(0.6)³ = 17.28 metres 

so, 8th bounce => 80(0.6)⁸ = 1.3 metres