Use the Nth-Term Test for Divergence to Show That the Series

question 1

Multiple Choice

Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive.
- $$\sum _ { n = 1 } ^ { \infty } \frac { n } { n + 2 }$$

• A) inconclusive
• B) converges, 2
• C) converges, \(\frac { 1 } { 2 }\)
• D) diverges

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Definitions:

Self-concept

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Carl Rogers

Carl Rogers was an influential American psychologist and founder of the humanistic approach to psychology, focusing on the importance of the self and the individual's potential for growth.

State of Incongruence

A condition where there is a discrepancy between an individual's self-image and their actual experiences or attributes, often leading to internal conflict and distress.

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An approach in psychology that emphasizes empathy and stresses the good in human behavior, focusing on the potential for self-growth.