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A ball is dropped from a height of 10 feet. After bouncing, it reaches a height that is 80% of the height from which it was dropped. This bouncing trend continues till the ball comes to a rest.

Question 1:

Show that the distance the ball falls on each drop follows a geometric sequence.

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Question 2:

If the ball comes to a rest after 40 bounces, how much distance has it traveled in total?

 

 Sep 4, 2020
 #1
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 Sep 4, 2020

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