A ball is dropped from a height of 3 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen.
(a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. (Enter your answer as an improper fraction.) Can someone show me how to do this?

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It is also a geometric series.

I think the formula is a^n=5n but im not sure...

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