| 
 
 
| Question 564302:  A ball is dropped from 30 meters. It bounces to 88 % of its previous height on each bounce. How high will the ball bounce on its 5th bounce?
 Answer by josmiceli(19441)
      (Show Source): 
You can put this solution on YOUR website! To analyze problem, let  = the starting height let
  = the fraction of the previous height that is the next height
 starting height:
  After 1st bounce,
  After 2nd bounce,
  After 3rd bounce,
  After 4th bounce,
  After 5th bounce,
  -----------------------------------
 This sequence is
  ,  ,  , 
  ,  ,  ---------------
 given:
 
  m 
  On it's 5th bounce, ball will reach heigh of
 
  
  m
 | 
  
 | 
 |