Practice problem
What Are Limits and Convergence of Infinite Sequences?

Ryan bounces a basketball, at its highest point the ball reaches 25ft. From that point the ball rebounds to 0.75 of its previous height. Let the high point of the nth bounce. Let the initial bounce, . Consider the height of the ball after 10 bounces, 20 bounces, and 50 bounces. What conjecture can be made about the limit of the sequence?