A ball is dropped from a height of 6 feet. The ball bounces to 40% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?

Answer: 0.1 feet

Step-by-step explanation:

This is a case of Geometric sequence.

First bounce = 40% of 6 feet

First bounce = 2.4 feet

second bounce = 40% of 2.4 feet = 0.96

Third bounce = 40% of 0.96 = 0.384

fourth bounce = 40% of 0.384 = 0.1536

fifth bounce = 40% of 0.1536 = 0.06144

Therefore : the ball is 0.1 feet to the nearest tenth of a foot