55-58. Heights of bouncing balls A ball is thrown upward to a height of ho meters. After each bounce, the ball rebounds to a fraction r of its previous height. Let h, be the height after the nth bounce. Consider the following values of họ and r. a. Find the first four terms of the sequence of heights {h,}. b. Find an explicit formula for the nth term of the sequence {h,}. 55. ho = 20, r = 0.5 56. ho = 10, r = 0.9 57. ho = 30, r = 0.25 58. hо — 20, r 3D 0.75

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 102E
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55-58. Heights of bouncing balls A ball is thrown upward to a height
of ho meters. After each bounce, the ball rebounds to a fraction r of its
previous height. Let h, be the height after the nth bounce. Consider the
following values of họ and r.
a. Find the first four terms of the sequence of heights {h,}.
b. Find an explicit formula for the nth term of the sequence {h,}.
55. ho = 20, r = 0.5
56. ho = 10, r = 0.9
57. ho = 30, r = 0.25
58. hо — 20, r 3D 0.75
Transcribed Image Text:55-58. Heights of bouncing balls A ball is thrown upward to a height of ho meters. After each bounce, the ball rebounds to a fraction r of its previous height. Let h, be the height after the nth bounce. Consider the following values of họ and r. a. Find the first four terms of the sequence of heights {h,}. b. Find an explicit formula for the nth term of the sequence {h,}. 55. ho = 20, r = 0.5 56. ho = 10, r = 0.9 57. ho = 30, r = 0.25 58. hо — 20, r 3D 0.75
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