The super bounce brand of bouncy balls rebounds to 85% of the height from which it was dropped. write both the explicit and recursive formulas h(n) that describes the height, h(n), of the bounce after n bounces given an initial height of 4ft.

Recursive formula

Explicit formula

Step-by-step explanation:

An explicit formula allows you to find the value of any term in the sequence. A recursive formula allows you to find the value of the nth term if you know the value of the (n-1)th term in the sequence.

Recursive formula

Given the initial height (), the next height () is 85% of it, the following height is 85% of the new height, and so on. Mathematically:

Where () is the nth height, given the previous one ()

Explicit formula

initial height: 4 ft

n: number of bounces

h(n): height after n bounces

n    h(n)

1    4*0.85 = 3.4 ft

2    3.4*0.85 = 2.89 ft

3    2.89*0.85 = 2.4565 ft

...  ...

n    4*0.85^n

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

step-by-step explanation: