Question

After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounceAfter the first bounce it reaches a height of 125 inchesHow high (in inches) will it reach after its fourth bounce?
A20
B15
C8
D5
E3.2

Answer 1

Answer:

8 inches.

Step-by-step explanation:

In the first bounce, the height that the ball reaches was 125 inches.

If the ball always bounces back to $\frac{2}{5}$ of the height, then after 2nd bounce it will reach $(125 \times \frac{2}{5}) = 50$ inches height.

Again, after 3rd bounce, it will reach $(50 \times \frac{2}{5}) = 20$ inches height.

And, after 4th bounce, it will reach $(20 \times \frac{2}{5}) = 8$ inches height. (Answer)