Question 1021597
A bouncy ball is dropped from a height of h meters and allowed to bounce indefinitely. Each succeeding bounce is 0.8 of the preceding one...
If the total vertical distance traveled by the ball is 63 meters, from what height was the ball dropped? 
Thank you very much 
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You are correct; it's an infinite geometric series.
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h, 0.8h, 0.8^2h, ...
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S(n) = a/(1-r)
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Your Problem::
S(n) = h/(1-0.8) = h/0.2 = 10h/2 = 5h
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Solve:: 5h = 63 meters
height = 12.6 meters

Cheers,
Stan H.
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