8. A ball is dropped from a height of 160 cm. Each time it drops it rebounds to 80% of its previous height. b) What is the total distance travelled at the time of the 10th bounce?

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8. A ball is dropped from a height of 160 cm. Each time it drops it rebounds to 80% of its previous height. b) What is the total distance travelled at the time of the 10th bounce?

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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\[160 + \sum_{n=1}^{10} 160 \times 2 \times 0.8^n\]
|dw:1326859180372:dw|
UnkleRahukas It is an infinite series

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Other answers:

i thought there were only 10 bounces?
the answer is 1268.2m just so to let you guys know Im looking for a sum
Sorry i calculated the total distance that it would travel it is definitely not 1268.2m
what did you get?
even if it bounced 100% of original bounce you will not get a total distance greater than 21x1.6m =34m
i think they meant sum find the sum of all the distances
well i dont know if i have done this correctly but i have ~\[ 160+160 \times 2 \times 4.57\]~\[16.22meters\]

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