What Does the Ratio Test Tell Us About the Series $\sum_{n=1}^{\infty} \frac{(-0.125)^{n-1}}{\sqrt{n}}$

question 61

Multiple Choice

What does the ratio test tell us about the series $\sum_{n=1}^{\infty} \frac{(-0.125) ^{n-1}}{\sqrt{n}}$ ?

• A)The series diverges.
• B)The series converges.
• C)The ratio test doesn't tell us anything about the convergence of the series.

---

Definitions:

Endocrine

pertaining to glands that secrete hormones directly into the blood rather than through a duct.

Constructivist Theory

An educational theory suggesting that learners construct their own understanding and knowledge of the world, through experiencing things and reflecting on those experiences.

Emotion

Complex feelings or states that result from the combination of a person's physiological responses, psychological experiences, and behavioral expressions.

Autonomic Nervous System

A division of the peripheral nervous system controlling involuntary body functions, including heart rate, digestion, and respiratory rate.