Write Out the First Five Terms of the Sequence $\left\{ \frac { n } { n ^ { 2 } + 2 } \right\}$

question 176

Multiple Choice

Write out the first five terms of the sequence.
- $\left\{ \frac { n } { n ^ { 2 } + 2 } \right\}$

• A) \(\frac { 1 } { 4 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 } , \frac { 5 } { 12 }\)
• B) \(\frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 3 } { 11 } , \frac { 2 } { 9 } , \frac { 5 } { 27 }\)
• C) \(\frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 } , \frac { 5 } { 12 }\)
• D) \(\frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 } , \frac { 5 } { 12 }\)

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Definitions:

Performance Orientation

A learning orientation characterized by a focus on presenting oneself well and appearing intelligent to others.

Prudence

The quality of being careful, thoughtful, or wise in practical affairs or decision-making.

Fear of Failure

The persistent anxiety or aversion to the possibility of failing, which can inhibit one's willingness to take risks or attempt certain tasks.

Desire for Success

The motivation or drive to achieve goals and excel in tasks.