Question

A ball is dropped from a height of 10 m. It rebounds 1/2 the distance on each bounce. What is the total distance the ball travels? (Round your answer to the nearest whole number)

Answer 1

this can be seen as a geometric series with a starting term of 10, and a common ratio of 1/2

Answer 2

S=u1/(1-r)
=10/(1-1/2)
=10/0.5
=20

Answer 3

20m using the formula for geometric infinite series

Answer 4

so the \[Sum _{\infty} = \frac{10}{1 - \frac{1}{2}}\] which is 20