Can you calculate Pi using a Solver?

[JurgenRo]

(12-09-2019 03:35 PM)Valentin Albillo Wrote:  

(12-09-2019 01:12 PM)EdS2 Wrote:  I'm wondering what approaches there might be for computing Pi using one of the Solvers on the various HP calculators. Of course, no trig functions allowed!

Let's call this a mini-challenge, unless it turns out to be so easy and obvious that it's a nano-challenge.

If your Solver has Square Root and Factorial, this one from Ramanujan converges very fast and it's quite simple, few bytes to program it and only a few terms to add up for full precision...



... and no trigs used, as requested, just basic arithmetic. Once you get 1/Pi just invert it with 1/x

Regards.
V.

(Pi^2)/6=sum_{n=1}^{infinity}1/n^2 might fall into the same category.
Juergen