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A ball is dropped from a height of 12 meters and rebounds one-half the distance on each bounce. Find the total distance it travels.

 Feb 2, 2018

Best Answer 

 #1
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This is the sum of an infinite geometric series:

Sum =F / [1 - R], where F = First term, R = Common Ratio

Sum = 12/ [1 - 1/2]

Sum = 12 / (1/2)

Sum = 12 x 2

Sum = 24 meters.

 Feb 2, 2018
 #1
avatar
+1
Best Answer

This is the sum of an infinite geometric series:

Sum =F / [1 - R], where F = First term, R = Common Ratio

Sum = 12/ [1 - 1/2]

Sum = 12 / (1/2)

Sum = 12 x 2

Sum = 24 meters.

Guest Feb 2, 2018
 #2
avatar+113 
+1

Thanks a lot!

jonathanxu999  Feb 2, 2018

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