Post Reply 
(34C) (11C) Summation of Infinite Alternating Series
02-10-2021, 06:04 PM (This post was last modified: 02-13-2021 05:22 PM by Valentin Albillo.)
Post: #1
(34C) (11C) Summation of Infinite Alternating Series
 
Extracts from HP Program VA342 - HP-34C Summation of Alternating Series
    Abstract
     
      SUMALT is a program written in 1979 for the HP-34C programmable calculator to quickly and accurately find the sum of infinite alternating series, even divergent ones (Euler sum). Three worked examples are included.

      Keywords: sum, infinite alternating series, Euler Transformation, Euler sum, differences, programmable calculator, RPN, HP-34C

    Introduction
     
      SUMALT is a short (84 steps) RPN program that I wrote in 1979 for the HP-34C calculator (will also run as-is or with minor modifications in many RPN models, such as the HP-11C) which, given an infinite alternating series (i.e.: consecutive terms alternate signs) whose general term is defined by the user, it will compute its sum very quickly using the Euler Transformation up to 7th-order differences. [...]

Link to PDF: HP Program VA342 - HP-34C Summation of Alternating Series.pdf

V.

  
All My Articles & other Materials here:  Valentin Albillo's HP Collection
 
Visit this user's website Find all posts by this user
Quote this message in a reply
Post Reply 


Messages In This Thread
(34C) (11C) Summation of Infinite Alternating Series - Valentin Albillo - 02-10-2021 06:04 PM



User(s) browsing this thread: 1 Guest(s)