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) Find a formula that describes an. Express the common ratio as a fraction. Hint: Use an = a1r^n-1 and place r in parentheses!
an = _____________

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

Answer 1

(A) The formula for nth bounce is $a_n = 20 (7/9)^{n}$.

(B) 4.43 feet is the maximum height of the ball on the 6th bounce.

What is an algebraic expression?

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

$a_n = 20 (7/9)^{n}$

(B)

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

To know more about Algebraic expression on:

brainly.com/question/19245500

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