Question

Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0.85an – 1. What is a1?

Answer 1

10

second answer: 6.141

Explanation:

edge2021

Answer 2

10 feet

Explanation:

The height of the ball after it hits the floor and rebound is defined by the recursive formula:

`a_n = 0.85a_(n-1)`

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,
`a_1=10 \:feet`