how high does the ball roll on its 3rd time up the cylinder's side
( d is 1/8 )

Answer:
1/8 inches
Step-by-step explanation:
Using the given function
d(n) = 2(1/4)^(n-1)
the initial value is 2, which is the height of the ball after the first roll.
For the third roll, n = 3
d(n) = 2 (1/4)^(3-1)
d(n) = 2 (1/4)^2
d(n) = 2/16
d(n) = 1/8