Question

A ball is released at a height of 8 inches to roll inside a half-cylinder it rolls to a height of 2 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 that is 1over4 as high as it had reached the other side this explicit formula models the height of the ball in inches an=2•(1over4)(n-1) . Need a answer

Answer 1

Answer:

C) 1/8 inch

Step-by-step explanation:

We are given the explicit formula

$a_n=2(\frac{1}{4})^{n-1}$, where n is the term number.

The third climb up would be the third term; this means we replace n with 3:

$a_3=2(\frac{1}{4})^{3-1}\\\\a_3=2(\frac{1}{4})^2=2(\frac{1}{4}\times \frac{1}{4})=2(\frac{1}{16})=\frac{2}{16}=\frac{1}{8}$