$\"\"$

The arithmetic series is $\"\"$

Consider the sum of a finite arithmetic series $\"\"$ .

Where $\"\"$ , $\"\"$ .

$\"\"$

The partial sum $\"\"$ is $\"\"$ , which approaches $\"\"$ as $\"\"$ .

Therefore, the sum of the series $\"\"$ cannot be calculated.

$\"\"$

The sum of the series $\"\"$ cannot be calculated.