Which geometric series converges?

Mathematics

1 answer:

Alex17521 [72]2 years ago

6 0

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.

<h3>How to determine the convergence of a geometric series</h3>

Geometric series are discrete formulas of the form $a \cdot \sum \limit_{i = b}^{m} r^{n}$ , 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: brainly.com/question/4617980

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