Provide an Appropriate Response $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } u _ { n }$

question 255

Multiple Choice

Provide an appropriate response.
-For an alternating series $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } u _ { n }$ where $\lim _ { n \rightarrow u _ { n } } \neq 0$ , what can be said about the convergence or divergence of the series?

• A) The series may or may not converge.
• B) The series always converges.
• C) The series always diverges.

---

Definitions:

Treynor Measure

A performance metric for determining how well an investment portfolio has compensated the investor for taking risk, adjusted for market volatility.

Standard Deviation

A measure of the dispersion or variability in a set of data points, often used in finance to indicate the volatility of an investment.

Beta

An indicator of the level of fluctuation, or inherent risk, of an investment or group of investments relative to the overall market.

Dollar-Weighted Return

A method of calculating an investment's return that takes into account the timing and amount of cash flows into and out of the investment.