Marvin Ray Burns

 I've been using Maple since 1997 or so.

MaplePrimes Activity

These are Posts that have been published by Marvin Ray Burns

Since -1 = i^2 I thought that there could be some meaning behind "alternating" series that instead of beginning with (-1)^n begin with (a+b*i)^n, with real coefficients, for abs(a)<1 and abs(b)<1. I'm not sure but it seems that such series are absolutely convergent, because (a+b*i)^n -> 0+0I as n->infinity, hence the term utterly diminishing series instead of alternating series.

As an example,
Where sum((-1)^n*(n^(1/n)-1),n=1..infinity)= 0.187859642462067120248... ,

It still seems that the original post won't accept new replies, so I'm starting a new post.


 It seems I can't add a response to this message, so I added some detail to it.

Consider f, the partial sums of the convergent series related to




 The first few convergents from the continued fraction expansion of the MRB constant are 0,1/5,3/16,31/165,34/181 and 65/346. If you were to use those convergents as terms of a generalized continued fraction, it would represent, approximately,



5 6 7 8 9 10 11 Page 7 of 14