Look back at the data given in problem 2-20 that describes the rebound ratio for an approved tennis ball. Suppose you drop a tennis ball from an initial height of $10$ feet.

1. How high would it rebound after the first bounce?

   Step 1(a):

   Find the rebound ratio by dividing the rebound by the initial height.

   $\frac{111}{200}=0.555$

   Step 2(a):

   Multiply the new initial height by the ratio.

   $10 · 0.555$

   Answer (a):

   $5.55$ ft.

2. How high would it rebound after the 12^th bounce?

   Step 1(b):

   Multiply the initial height by $0.555$, twelve times.

   $10 · \left(0.555\right)^{12}$

3. How high would it rebound after the n^th bounce?

   Hint (c):

   Remember that the initial height is $10$ feet and the ratio is $0.555$.