Problem 48040. Find the Pattern 5

Created by Doddy Kastanya

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Find the pattern for the following sequence:
pat(1) = 2.0000
pat(3) =  1.1667
pat(4) = 0.9167
Create a function which satisfies the pattern shown above.

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Last Solution submitted on Feb 03, 2025

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Rafael S.T. Vieira on 30 Oct 2022

These questions need to be improved since a 2nd order polynomial fits perfectly to this data, for instance, and yet is different from the correct answer. The user must know that infinitely many functions can pass through no matter how many points they provide. Therefore, there must be a TIP for the pattern we need to find.

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