# The reciprocal Fibonacci constant

Posted 1 month ago
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Posted 1 month ago
 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 \$Version (* Out: "12.3.1 for Linux x86 (64-bit) (June 24, 2021)" *) I get: rezipSum = Sum[1/Fibonacci[n], {n, 1, Infinity}]  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!