Determine Whether Each of the Following Series Is Convergent or Divergent.(a)

question 70

Short Answer

Determine whether each of the following series is convergent or divergent.(a) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n }$ (b) $\sum _ { n = 0 } ^ { \infty } n \sin \left( \frac { 1 } { n } \right)$ (c) $\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \frac { 3 ^ { n } } { 5 ^ { n } }$

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Definitions:

Discrimination

The unfair treatment of people based on their race, age, or gender, leading to bias and discrimination.

Groupthink

A mental occurrence happening among a group where the need for consensus or conformity leads to unreasonable or ineffective decisions.

Foot-in-the-Door Technique

A persuasion strategy that involves getting a person to agree to a small request to increase the chances they will agree to a larger request later.

Robber's Cave Experiment

A social psychology experiment that illustrated how conflict can arise between groups and be resolved through cooperative tasks that achieve mutual goals.