What Does the Ratio Test Tell Us About the Series $\sum_{n=1}^{\infty} \frac{n}{2^{n}}$

question 43

Multiple Choice

What does the ratio test tell us about the series $\sum_{n=1}^{\infty} \frac{n}{2^{n}}$ ?

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

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Definitions:

Cost Ratio

A measure that compares a company's operating expenses to its revenue, indicating how efficiently it is managed by showing the percentage of sales that goes towards covering costs.

Beginning Inventory

The value of a company's stock of goods at the start of an accounting period, serving as a baseline for inventory management.

Net Income

The total profit of a company after all expenses and taxes have been subtracted from its total revenue.

Period End Assets

The total value of all assets owned by a company at the end of a given financial reporting period.