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PreCalc - Sequence

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A ball is dropped from a height of 20 ft and always rebounds 1/4 of the distance fallen.

A. write a sequence for the first 3 rebound heights

B. How high is the 6th rebound?

C. Find the sum of all possible rebounds.

I keep getting numbers that are too high. I don't think I have the correct geometric sequence.

  • PreCalc - Sequence - ,

    1st rebound 20*1/4
    2nd 20*(1/4)^2
    3rd 20*(1/4)^3
    6th 20*(1/4)^6
    The sum=20*(1/4+(1/4)^2+(1/4)^3+...)=
    20*(1/4)/(1-1/4)=20/3

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