Question

Please help me out I don’t get it and went over it and keep on making a mistake

Answer 1

We have the height of the first two bounces. The first one is 6 feet, while the second is 4 feet. We need to find the ratio between the first and second bounces:

`\text{ratio}=(4)/(6)=(2)/(3)`

Therefore the equation for the bounces is:

`\begin{gathered} h(n)=6\cdot((2)/(3))^(n-1) \\ h(n)=6\cdot((2)/(3))^n\cdot((2)/(3))^(-1) \\ h(n)=6\cdot((2)/(3))^n((3)/(2)) \\ h(n)=9\cdot((2)/(3))^n \end{gathered}`