Determine Whether the Infinite Geometric Series Converges or Diverges $$4 - 1 + \frac { 1 } { 4 } - \cdots$$

question 83

Multiple Choice

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
- $$4 - 1 + \frac { 1 } { 4 } - \cdots$$

• A) Converges; - 1
• B) Converges; 4
• C) Converges; \(\frac { 16 } { 5 }\)
• D) Converges; 3

---

Definitions:

Standard Deviation

A statistical measure of the dispersion or variability around the mean of a set of data points, often used to quantify the risk of an investment.

Return

The gain or loss on an investment over a specified period, expressed as a percentage of the investment’s cost.

Unanticipated Macroeconomic Events

Economic events that are unexpected and can have significant impacts on markets and investments, such as sudden changes in inflation or interest rates.

Security's Return

The total gain or loss experienced on an investment over a specified period, expressed as a percentage.