Math 2414 Group Leader Lab 5 Names of those who contributed Objective: To explore a practical sequence TEXTBOOK: 10.1 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 oth bounce and let S, be the total distance the ball has traveled at the moment of the nth bounce. Suppose a racket ball bounces with ho=10 and r = 0.82. a. Find the first four terms of the sequence {hn}. b. Find a recurrence relation for the sequence {hn}. c. Find an explicit formula for the sequence {hn}. d. What is the limit of the sequence {hn}