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:

SetFormat, FloatFast, 0.15
While A_Index <= 1000
 sum += 1/A_Index**2
MsgBox,% sum  ;1.643934566681554