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

Answer:

$\frac{1}{3}\ in$

Step-by-step explanation:

we have

$a(n)=9(\frac{1}{3})^{n-1}$

For n=4

substitute

$a(4)=9(\frac{1}{3})^{4-1}$

$a(4)=9(\frac{1}{3})^{3}$

$a(4)=9(\frac{1}{27})$

$a(4)=\frac{1}{3}\ in$

Answer 2

Answer:

1/3

Step-by-step explanation: