How to resolve the algorithm Sum of a series step by step in the PL/I programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Sum of a series step by step in the PL/I programming language

Table of Contents

Problem Statement

Compute the   nth   term of a series,   i.e. the sum of the   n   first terms of the corresponding sequence.
Informally this value, or its limit when   n   tends to infinity, is also called the sum of the series, thus the title of this task. For this task, use:

This approximates the   zeta function   for   S=2,   whose exact value is the solution of the Basel problem.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Sum of a series step by step in the PL/I programming language

Source code in the pl/i programming language

/* sum the first 1000 terms of the series 1/n**2. */
s = 0;

do i = 1000 to 1 by -1;
   s = s + 1/float(i**2);
end;

put skip list (s);

  

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