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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
29 Dec 2021

Given information

Given a certain ball has the property that each time it falls from a height    onto a hard, level surface, it rebounds to a height    , where .

Step-by-step explanation

Step 1.
Assume that the distance travelled by the ball after   fall(s) and   raise(s) is   , hence we can calculate the distance, as follows
 $
 
 
 
 
 
 
 
Since  , we have   , and we have a geometric series with   , so we can find the sum by using the formula.
 
 
 

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