the expression of the height is
[tex]a_n=8\cdot (\frac{1}{2})^{n-1}[/tex]
the index "n" is the numbers of times that the ball is down, to n=1 the height is 8 inches, to n=2 the height is 4 inches.
An when n=5, the height is
[tex]a_5=8\cdot (\frac{1}{2})^{5-1}=8\cdot (\frac{1}{2})^4=\frac{1}{2} =0.5 [/tex]
the anwers is 0.5 inches
