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 Differences of the fraction (Posted on 2021-02-20)
The following fractions are written on the board 1/n, 2/(n-1), 3/(n-2), ... , n/1 where n is a natural number. Alice calculated the differences of the neighboring fractions in this row and found among them 10000 fractions of type 1/k (with natural k). Prove that he can find even 5000 more of such these differences.

 No Solution Yet Submitted by Danish Ahmed Khan Rating: 4.0000 (1 votes)

 Subject Author Date The current hypothesis Charlie 2021-02-21 18:13:22 re: A boy named Alice Charlie 2021-02-21 14:07:43 re: Just some guesses Charlie 2021-02-21 14:06:13 A boy named Alice Math Man 2021-02-21 11:30:35 re: Just some guesses (showing the crunched numbers) Charlie 2021-02-20 18:20:27 Just some guesses Jer 2021-02-20 12:09:44

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