*2. International Landmarks The Santa Justa Elevator (Elevador de Santa Justa) in Lisbon, Portugal is 45 meters tall. Suppose a ball is dropped from the top of the elevator and rebounds 25% of its previous height after each bounce. a. Use summation notation to write an infinite geometric series to represent the total distance the ball travels after it initially hits the ground. Keep in mind that the ball travels both down and up on each bounce. (113) b. Find the sum of the series from part a. c. Find the total distance the ball travels by adding the distance traveled before the ball initially hit the ground.

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