Answer
See below
Work Step by Step
A ball is dropped from a height of 12 feet. Each time the ball hits the ground, it bounces to 70% of its previous height, $r=0.7$
The total distance traveled by the ball, including the distance traveled before the first bounce, is $\sum^{\infty}_{n=0} 2 \times 12\times0.7^n=\sum^{\infty}_{n=0} 24\times0.7^n$
