Question

A: 1/2 inch B: 1 inch C: 2 inches D: 1/32 inch

Answer 1

The expression of the height is

$a_n=8\cdot (\frac{1}{2})^{n-1}$

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

$a_5=8\cdot (\frac{1}{2})^{5-1}=8\cdot (\frac{1}{2})^4=\frac{1}{2} =0.5$

the anwers is 0.5 inches