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For a positive integer n, the rational number r satisfies

2n/n + 2n/(n + 1) = r*2n/n - n/(n - 1)

Express r in terms of n.  (Your expression should be as simplified as possible.)

 Oct 6, 2023
 #1
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The answer is r  = n^2/(n^2 - 1).

 Jun 30, 2024

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