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)

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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)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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this can be seen as a geometric series with a starting term of 10, and a common ratio of 1/2
S=u1/(1-r) =10/(1-1/2) =10/0.5 =20
20m using the formula for geometric infinite series

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

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