After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?
The height after the nth bounce is given by :
125 (2/5) n - 1 so.....sfter the 4th bounce, we have
125 (2/5) 4 -1 =
125 (2/5) 3 =
125 (8 / 125) =
8 inches