Question

How high does the ball roll on its 5th time up the cylinders side?

Answer 1

To find the height of the ball the 5th time it goes up the cylinder we just need to plug n=5 in the expression given:

`\begin{gathered} a_5=8((1)/(2))^(5-1) \\ a_5=8((1)/(2))^4 \\ a_5=(1)/(2) \end{gathered}`

Therefore, the height the ball reaches the 5th time it goes up is 1/2 inches (or 0.5 inches in decimal form)