A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9

Question

A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9 of the height it fell from. Let an represent the maximum height of the ball on the nth bounce.

A). an = 20 (7/9)^n-1

B) What is the maximum height of the ball on the 6th bounce? Round your answer to three decimal places.

_______________ feet

Answer 1

a6 = 20(7/9)^5

=5.69256

=about 5.693 feet = max height on 6th bounce