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.
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