A ball is thrown upward to a height of h 0 meters. After each bounce, the ball

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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 and let Sn be the total distance the ball has traveled at the moment of the nth bounce.

a. Find the first four terms of the sequence {Sn}.

b. Make a table of 20 terms of the sequence {Sn} and determine a plausible value for the limit of {Sn}.

h0 = 20, r = 0.5

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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