(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
 Valentin Albillo Senior Member Posts: 887 Joined: Feb 2015
(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. [...]

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 Messages In This Thread (34C) (11C) Summation of Infinite Alternating Series - Valentin Albillo - 02-10-2021 06:04 PM RE: (34C) Summation of Infinite Alternating Series - Albert Chan - 02-12-2021, 03:04 PM RE: (34C) (11C) Summation of Infinite Alternating Series - Valentin Albillo - 02-13-2021, 05:51 PM RE: (34C) (11C) Summation of Infinite Alternating Series - Albert Chan - 02-13-2021, 06:15 PM RE: (34C) (11C) Summation of Infinite Alternating Series - robve - 02-13-2021, 10:34 PM RE: (34C) (11C) Summation of Infinite Alternating Series - Albert Chan - 02-13-2021, 11:30 PM RE: (34C) (11C) Summation of Infinite Alternating Series - Albert Chan - 02-14-2021, 11:30 AM RE: (34C) (11C) Summation of Infinite Alternating Series - robve - 02-16-2021, 01:57 AM RE: (34C) (11C) Summation of Infinite Alternating Series - Thomas Klemm - 03-02-2022, 03:17 PM

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