Dropped from an initial height of 20 feet, this ball always bounces back to 5/6 of its previous height each time it bounces.

Assuming this continues, will the ball ever stop bouncing?

What if the ball had an initial height of 100 or 1,000,000 feet?

How many bounces would it take for the ball to bounce to a height of zero feet if the initial height is 1,000,000 feet?
Can you graph the relationship between the number of bounces and the height of each bounce?