Solved: 5558. Heights of bouncing balls A ball is thrown

Chapter 8, Problem 55

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5558. Heights of bouncing balls A ball is thrown upward to a height of h0 meters. After each bounce, the ball rebounds to a fraction r of its previous height. Let hn be the height after the nth bounce. Consider the following values of h0 and r. a. Find the first four terms of the sequence of heights 5hn6. b. Find an explicit formula for the nth term of the sequence 5hn6. h0 = 20, r = 0.5

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