Question

A ball is released at a height of 27 inches to roll inside a half-cylinder. It rolls

to a height of 9 inches on the other side of the cylinder on roll 1. Each time it
rolls up a side of the cylinder, the ball reaches a point th
high as it
had reached on the other side.
This explicit formula models the height of the ball, in inches, the nth time it
rolls up a side of the cylinder.
How high does the ball roll on its 4th time up the cylinder's side?

Answer 1

1/3

Explanation:

Answer 2

`(1)/(3)\ in`

Explanation:

we have

`a(n)=9((1)/(3))^(n-1)`

For n=4

substitute

`a(4)=9((1)/(3))^(4-1)`

`a(4)=9((1)/(3))^(3)`

`a(4)=9((1)/(27))`

`a(4)=(1)/(3)\ in`