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Differences of the fraction (Posted on 2021-02-20) Difficulty: 3 of 5
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)

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  Subject Author Date
The current hypothesisCharlie2021-02-21 18:13:22
Some Thoughtsre: A boy named AliceCharlie2021-02-21 14:07:43
re: Just some guessesCharlie2021-02-21 14:06:13
Some ThoughtsA boy named AliceMath Man2021-02-21 11:30:35
re: Just some guesses (showing the crunched numbers)Charlie2021-02-20 18:20:27
Just some guessesJer2021-02-20 12:09:44
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