You drop a ball and it bounces 4 feet into the air. On each subsequent bounce the ball bounces half as high it did on the previous bounce. How high does it bounce on the sixth bounce? (Enter your answer as a fraction and don't forget your units)

Question

Mathematics

Gillespie

19 May, 14:47

You drop a ball and it bounces 4 feet into the air. On each subsequent bounce the ball bounces half as high it did on the previous bounce. How high does it bounce on the sixth bounce? (Enter your answer as a fraction and don't forget your units)

+4

Answers (2)

Know the Answer?

Marie Stewart · Answer 1

Half

4 times (1/2) ^n

n=number of bounces

wait, 4 feet is the first bounce already so

8 times (1/2) ^n

so when n=1, then we get 4

yes

so

for n=6 or 6th bounces

8 times (1/2) ^6

8 times 1 / (2^6)

8 times 1/64

8/64

1/8

it bounces 1/8 feet high on 6th bounce

Valerie Downs · Answer 2

Valerie Downs 19 May, 17:04

0

The answer is 1.25/10 of a foot