# Pi/AConvergentSeries

Jump to navigation
Jump to search

## A Challenge

R.E. Boss posted the following challenge to the J Programming Forum. Unfortunately, I was unable to access the link he provided, so I've included what I think is the relevant portion below in the section **The Series**.

from: R.E. Boss r.e.boss@planet.nl via srs.acm.org to: Programming forum <programming@jsoftware.com> date: Mon, May 14, 2012 at 5:02 AM subject: [Jprogramming] Challenge 12(?)

I scanned a part of Exploratory Experimentation and Computation, https://www.opendrive.com/files?57384074_sCfMP , where two statements are made about a very rapidly convergent series.

1. The first term coincides with (pi % 8) in the first 42 digits

2. The first 2 terms even give 500 digits

How can these two statements be confirmed (or rejected) with J?

(No deadlines apply.)

R.E. Boss

## The Series

From this PDF on the website of the AMS (American Mathematical Society):