Question

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

Answer 1

1/8 inches

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

Answer 2

Explanation:

aₙ = 2 (¼)ⁿ⁻¹

a₃ = 2 (¼)³⁻¹

a₃ = 2 (¼)²

a₃ = ⅛