Message Boards Message Boards

GROUPS:

The reciprocal Fibonacci constant

Posted 1 month ago
764 Views
|
2 Replies
|
8 Total Likes
|

2 Replies

enter image description here -- you have earned Featured Contributor Badge enter image description here Your exceptional post has been selected for our editorial column Staff Picks http://wolfr.am/StaffPicks and Your Profile is now distinguished by a Featured Contributor Badge and is displayed on the Featured Contributor Board. Thank you!

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}]

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!

Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract