A ball is dropped straight down from a height of 16 feet. If it bounces back each time to a height one-half the height from which it last fell, how far will the ball have traveled when it hits the floor for the sixth time?

it will bounce 8 times at least before it stops

We can find this

16 + 16 [ 1 - .5^(N - 1) ] / [ 1 - .5]

Where N is the total distance traveled on the Nth bounce

When N = 6, we have

47 ft