Determine Whether the Geometric Series Converges or Diverges $$- \frac { 1 } { 5 } + \frac { 1 } { 25 } - \frac { 1 } { 125 } + \frac { 1 } { 625 } - \cdots$$

question 40

Multiple Choice

Determine whether the geometric series converges or diverges. If it converges, find its sum.
$$- \frac { 1 } { 5 } + \frac { 1 } { 25 } - \frac { 1 } { 125 } + \frac { 1 } { 625 } - \cdots$$

• A) \(\frac { 1 } { 4 }\)
• B) \(- \frac { 1 } { 5 }\)
• C) Diverges
• D) \(- \frac { 1 } { 6 }\)

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Definitions:

Audiences and Crowds

A conceptual distinction where audiences are groups of people observing an event, while crowds are groups that gather for a shared purpose and may engage in active participation.

Coworkers

Individuals who work together in the same organization or workplace.

Primary Groups

Small, close-knit and often long-term social groups characterized by deep, personal, and enduring relationships.

Cohesiveness

A measure of how well members of a group stick together, sharing a sense of belonging and commitment to the group's objectives.