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Suppose a ball is thrown upward to a height of ho meters. Each time the ball bounces, it rebounds to a fraction r of its

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Suppose a ball is thrown upward to a height of ho meters. Each time the ball bounces, it rebounds to a fraction r of its previous height. Let h, be the height after the nth bounce and let S, be the total distance the ball has traveled at the moment of the nth bounce. Complete parts a. and b. below. ho = 40, r= 0.5 a. Find the first four terms of the sequence {S,)- S1 = 80 S2 = 120 S3 = SA = (Type integers or decimals rounded to three decimal places as needed.) K

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