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April 1st, 2014, 12:23 PM   #1
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Subsequence

2000 Real numbers are written on a row. Prove that it is possible to choose a sub-sequence such that the sum of the sum of the numbers of that sub-sequence differs maximum 1/1000th of a real number. (n-1/1000 <= sum <= n+1/1000)
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April 1st, 2014, 06:45 PM   #2
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I presume you mean "1/1000th of a natural number".
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April 1st, 2014, 09:22 PM   #3
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Yes indeed, sorry.
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