Find an Expression for the General Term of the Series $\frac{x}{5}+\frac{x^{2}}{12}+\frac{x^{3}}{31}+\frac{x^{4}}{68}+\cdots$

question 18

Multiple Choice

Find an expression for the general term of the series $\frac{x}{5}+\frac{x^{2}}{12}+\frac{x^{3}}{31}+\frac{x^{4}}{68}+\cdots$

• A) \(\frac{x^{n}}{n+4}\) for \(n \geq 1\) .
• B) \(\frac{x^{n}}{7 n-2}\) for \(n \geq 1\) .
• C) \(\frac{x^{n}}{n^{3}+4}\) for \(n \geq 1\) .
• D) \(\frac{x^{n}}{n^{2}+12}\) for \(n \geq 1\) .

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Definitions:

Foot-In-The-Door Technique

A persuasion strategy where a small request is made first in order to increase the likelihood of compliance with a larger request later.

Balance Theory

A theory in social psychology suggesting that individuals strive for consistency in their beliefs, attitudes, and sentiments in relation to one another.

Assimilate

To absorb and integrate new information, cultures, or ideas into one's existing knowledge base or cultural identity.

Attitude Commitment

The degree to which an individual is psychologically attached to their attitudes or beliefs.