Question

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)

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

Answer 2

The answer is 1.25/10 of a foot