(A) The formula for nth bounce is
.
(B) 4.43 feet is the maximum height of the ball on the 6th bounce.
<h3>What is an algebraic expression?</h3>
An algebraic expression is consists of variables, numbers with various mathematical operations,
Given that,
The height from where the ball is dropped = 20 feet.
Also, the ball bounces and returns to 7/9 to its original height.
(A)
The representation of the maximum height of the ball on the nth bounce can be given as

(B)
The maximum height of the ball on the 6th bounce = 20 (7/9)⁶ = 4.43 feet
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