Bouncing ball

A certain ball rebounds one half of the height from which it is dropped. Assume the ball is dropped 128 feet from the top of a school and keeps bouncing. How far will the ball have traveled in total up and down when it strikes the ground for the fifth time?

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A certain ball rebounds one half of the height from which it is dropped. Assume the ball is dropped 128 feet from the top of a school and keeps bouncing. How far will the ball have traveled in total up and down when it strikes the ground for the fifth time?
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