Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \frac { 7 } { ( 4 n - 1 ) ( 4 n + 3 ) }$$

question 46

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 7 } { ( 4 n - 1 ) ( 4 n + 3 ) }$$

• A) diverges
• B) converges; \(\frac { 7 } { 12 }\)
• C) converges; \(\frac { 7 } { 18 }\)
• D) converges; \(\frac { 7 } { 6 }\)

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Definitions:

Win-Lose Conflict

A type of conflict resolution in which one party's gain is another party's loss, emphasizing competition over collaboration.

Competing

Engaging in a struggle or contest against others for resources, recognition, or victory in a specific area.

Compromising

The act of finding a middle ground through mutual concessions in a dispute or negotiation.

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Personalities encompass the unique combination of emotional, attitudinal, and behavioral response patterns of an individual, contributing to their consistent behaviors and actions in various situations.