Use the Limit Comparison Test (If Possible) to Determine Whether $\sum _ { n = 1 } ^ { \infty } \frac { 4 ^ { n + 1 } } { 5 ^ { n } - 6 }$

question 134

Multiple Choice

Use the Limit Comparison Test (if possible) to determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { 4 ^ { n + 1 } } { 5 ^ { n } - 6 }$ converges or diverges.

• A) diverges
• B) converges

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Definitions:

Weiner's Attribution Theory

A theory that suggests people tend to attribute causes to their successes and failures based on three main factors: locus of control, stability, and controllability.

Achievement Recognition

is the acknowledgement or reward given for accomplishments, often serving as motivation and validation for individuals.

Task Difficulty

The level of challenge presented by a task, influencing effort and strategies employed to accomplish it.

Social Comparison

The process by which individuals evaluate themselves by comparing their abilities, status, and situation with others.