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The reciprocal Fibonacci constant

Posted 4 months ago
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2 Replies

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Jonathan, this is an interesting task, but you say:

The direct attempt to find the limit of sum of series doesn’t succeed, ...

If I try that on my system

(*  Out:  "12.3.1 for Linux x86 (64-bit) (June 24, 2021)"  *)

I get:

rezipSum = Sum[1/Fibonacci[n], {n, 1, Infinity}]

enter image description here

N[rezipSum, 10]
(*  Out:  3.359885666  *)

This is a nice closed solution which already contains the GoldenRatio. Isn't Mathematica just awesome?!?

Which version are you using? Obviously WRI made some improvements!

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