Question 1111661
The first bounce(s1) it covers 10+(10/2) = 15m. 
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The second bounce(s2), it is (10/2)+(10/4) = 7.5m 
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The third bounce(s3), it is (10/4)+(10/8) =  3.75m and so forth 
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The distance covered by each bounce is 1/2 the distance covered by the previous bounce
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The total distance covered is the sum of the partial sums,
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total distance = s1 + s2 + s3 + ...... + sn
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Note that the partial sums si form a geometric series where the common ratio is 1/2
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si = s1 * (1/2)^(n-1), where i = 1, n 
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when the absolute value of the common ratio is less than 1, the sum is defined as
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sum = s1 / (1 - r), where s1 is the initial term and r is the common ratio
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sum = 15 / (1 - (1/2)) = 15 * 2 = 30m
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