Lizette drops a ball from a height

Question

of 256 feet. The peak height after each bounce is 75% the previous height. How
much vertical distance does the ball travel from the time she drops it until it touches the ground after its
fourth
bounce

Answer 1

256 + 2*256*.75 + ... + 2*256*.75^4
= 2*256(1-.75^5)/(1-.75) - 256
= 1306