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:

SOAS(N)
 NEW SUM,I SET SUM=0
 FOR I=1:1:N DO
 .SET SUM=SUM+(1/((I*I)))
 QUIT SUM