How high ball bounces after its eighth rebound


The screen saver on computer is programmed to send the colored ball vertically down middle of screen so that it rebounds 95% of distance it last traversed. If ball always starts at the top and screen is 36cm tall, how high ball bounces after its eighth rebound? How far does ball travel before coming to rest (and new screen saver starts)?

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Mathematics: How high ball bounces after its eighth rebound
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