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A ball is dropped from a height of 12 meters and rebounds one-fourth the distance on each bounce. Find the total distance it travels.

 Oct 27, 2020
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Before the first bounce it travels 12

  the next bounce is up and down 3   = 6

    the next bounces is up and down   3/4 =  6/4

       geometric sequence   a1 = 6     r = 1/4

 

sum =   12     + a(1/(1-r))  = 12 + 6 (1/(1-1/4))  = 20 m

 Oct 27, 2020

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