If a ball is dropped from $160$ cm and rebounds to $120$ cm on the first bounce, how high will the ball be:

1. On the $2^{nd}$ bounce?

   Hint (a):

   What is the ratio between the rebound height and the original height?

   More Help (a):

   $\text{The rebound ratio is } \\\frac{120\text{ cm}}{160\text{ cm}}=0.75.$

2. On the $5^{th}$ bounce?

   Answer (b):

   $≈ 37.97$ cm

3. On the $n^{th}$ bounce?

   Answer (c):

   $\textit{t}(\textit{n})=160(0.75)^\textit{n}$