Answer:
10 feet
Step-by-step explanation:
The height of the ball after it hits the floor and rebound is defined by the recursive formula:
[tex]a_n = 0.85a_{n-1}[/tex]
This is an example of a geometric sequence in which the next term is gotten by multiplication of the previous term by 0.85.
If the ball is dropped from a height of 10 feet, the first term is 10.
Its Initial height, [tex]a_1=10 \:feet[/tex]
