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 {hn}.b. Find an explicit formula for the nth term of the sequence {hn}. h0 = 20, r = 0.5
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 {hn}.b. Find an explicit formula for the nth term of the sequence {hn}. h0 = 20, r = 0.5
Chapter9: Sequences, Probability And Counting Theory
Section9.3: Geometric Sequences
Problem 59SE: Use the explicit formula to write a geometric sequence whose common ratio is a decimal number...
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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. Consider the following values of h0 and r.
a. Find the first four terms of the sequence of heights {hn}.
b. Find an explicit formula for the nth term of the sequence {hn}.
h0 = 20, r = 0.5
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