Based on ratio criterion and definition of geometric series we conclude that the geometric series 1/5 + 1/20 + 1/80 + 1/320 + ... is convergent.
How to determine the convergence of a geometric series
Geometric series are discrete formulas of the form [tex]a \cdot \sum \limit_{i = b}^{m} r^{n}[/tex], where a and r are real numbers, and n and b are natural numbers. According to the ratio criterion, a geometric series is convergent if and only if |r| ≤ 1.
In accordance to this information, we conclude that the geometric series 1/5 + 1/20 + 1/80 + 1/320 + ... is convergent.
To learn more on geometric series: https://brainly.com/question/4617980
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