How to resolve the algorithm Sum of a series step by step in the Icon and Unicon programming language

Published on 12 May 2024 09:40 PM
#Icon and unicon

How to resolve the algorithm Sum of a series step by step in the Icon and Unicon 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 Icon and Unicon programming language

Source code in the icon programming language

procedure main()
   local i, sum
   sum := 0 & i := 0
   every sum +:= 1.0/((| i +:= 1 ) ^ 2) \1000
   write(sum)
end


procedure main()
    every (sum := 0) +:= 1.0/((1 to 1000)^2)
    write(sum)
end


   x := y := 0   # := is right associative so, y is assigned 0, then x
   1 < x < 99    # comparison operators are left associative so, 1 < x returns x (if it is greater than 1), then x < 99 returns 99 if the comparison succeeds
   (sum := 0)    # returns a reference to sum which can in turn be used with augmented assignment +:=

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