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:

writeln "calc.: ", fold f{+}, map f 1/.x^2, 1..1000
writeln "exact: ", pi^2/6

mode divMaxScale = 100

writeln "calc.: ", fold f{+}, map f 1/.x^2, 1..1000
writeln "exact: ", pi^2/6