a ball is dropped from a height of 10 feet, each bounce is 3/4 of the height of the bounce before(adsbygoogle = window.adsbygoogle || []).push({});

a)find an expression for the height h_{n}to which the ball rises after it hits the floor for the nth time

so h_{n}= 10(3/4)^{n}

b) find an expression for the vertical distance D_{i}the ball has traveled when it hits the floor for the first, second, third, and fourth times.

im a little confused on this part, how would D_{i}relate to h_{h}? or do they even relate at all?

would it be 10 + 10(3/4)^{n}since after it hits the ground the first time it will decrease by 3/4 of the previous height each time?

c) find an expression for the total vertical distance the ball has travelled when it hits the floor for the nth time

im sure once figure out b this will make perfect sense

any hints or tips on how to do this would really be appreciated.

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# Homework Help: Geometric series

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