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

C) 1/8 inch

Explanation:

We are given the explicit formula

`a_n=2((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((1)/(4))^(3-1)\\\\a_3=2((1)/(4))^2=2((1)/(4)* (1)/(4))=2((1)/(16))=(2)/(16)=(1)/(8)`