Find the Sum of the Infinite Geometric Series $\sum _ { n = 1 } ^ { \infty } \left( - \frac { 1 } { 3 } \right) ^ { n }$

question 91

Multiple Choice

Find the sum of the infinite geometric series. $\sum _ { n = 1 } ^ { \infty } \left( - \frac { 1 } { 3 } \right) ^ { n }$

• A) \(\frac { 3 } { 2 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(- \frac { 1 } { 4 }\)
• D) \(- \frac { 1 } { 2 }\)
• E) \(- \frac { 3 } { 4 }\)

---

Definitions:

Chartjunk

Excessive and unnecessary graphical elements in charts or graphs that distract from the data's intended message.

Critical Activities

Essential tasks or operations that must be performed to meet objectives or goals within a project or organization.

Pie Chart

A circular statistical graphic divided into slices to illustrate numerical proportion, making it easy to compare parts of a whole.

Line Graph

A type of graph that uses lines to connect data points representing changes in values over time or other variables.