Suppose 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 ho and r. Complete parts (a) and (b) below. ho = 15, r 0.25 %3D (a) Find the first four terms of the sequence of heights {hn}. ho = 15 h2 = 0.938 (Type integers or decimals rounded to three decimal places as needed.) h, = 3.75 %3D h3 = 0.235 %3D (b) Find an explicit formula for the nth term of the sequence {h,}. hn =,n20 %3D (Type your answer using exponential notation.)

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