Write Out the First Five Terms of the Sequence $$\left\{ ( - 1 ) ^ { n - 1 } \left( \frac { n + 1 } { 2 n - 1 } \right) \right\}$$

question 4

Multiple Choice

Write out the first five terms of the sequence.
- $$\left\{ ( - 1 ) ^ { n - 1 } \left( \frac { n + 1 } { 2 n - 1 } \right) \right\}$$

• A) \(- 2,1 , \frac { 4 } { 5 } , - \frac { 5 } { 7 } , \frac { 2 } { 3 }\)
• B) \(2 , - 1 , \frac { 4 } { 5 } , - \frac { 5 } { 7 } , \frac { 2 } { 3 }\)
• C) \(2,1 , \frac { 4 } { 5 } , \frac { 5 } { 7 } , \frac { 2 } { 3 }\)
• D) \(- 2,1 , - \frac { 4 } { 5 } , \frac { 5 } { 7 } , - \frac { 2 } { 3 }\)

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Definitions:

Conscious

Pertaining to the state of being aware of and responsive to one's surroundings and own thoughts and feelings.

Self-discrepancy Theory

A psychological model that explains how the mismatch between an individual's actual self, ideal self, and ought self can lead to emotional discomfort.

Chemical Engineer

A professional who applies principles of chemistry, physics, and engineering to design and implement processes for producing, transforming, and transporting materials.

Small Discrepancy

a minor difference or deviation from what is expected, generally not sufficient to cause concern.