Homework Help: PreCalc - Sequence

Posted by Joe on Wednesday, July 27, 2011 at 6:25pm.

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 - Anonymous, Wednesday, July 27, 2011 at 8:53pm
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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