Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } 7 \left( \frac { 1 } { 3 } \right) ^ { n }$

question 18

Multiple Choice

Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } 7 \left( \frac { 1 } { 3 } \right) ^ { n }$

• A) \(\frac { 2 } { 21 }\)
• B) \(\frac { 2 } { 7 }\)
• C) \(- \frac { 1 } { 3 }\)
• D) \(\frac { 21 } { 2 }\)
• E) undefined

---

Definitions:

Leadership

The ability to guide, influence, or direct a group towards achieving a common goal.

Emotional Intelligence

The capacity to be aware of, control, and express one's emotions, and to handle interpersonal relationships judiciously and empathetically.

Common Sense

Sound practical judgment concerning everyday matters, or a basic ability to perceive, understand, and judge in a manner shared by nearly all people.

Imagination

The ability of the mind to be creative or resourceful, envisioning things not currently present or that do not exist.