A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 90% of the height from which it fell.
a. 
Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=?
b. 
How high will the ball bounce on the 14th bounce? (in inches)
c. 
How many bounces before the ball rises no higher than an inch?