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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.