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:

$x = 1..1000 `
       | ForEach-Object { 1 / ($_ * $_) } `
       | Measure-Object -Sum
Write-Host Sum = $x.Sum