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 hn=h_n=the high point of the nth bounce. Let the initial bounce, h0=25fth_0=25ft. 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?

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