Find the First Four Terms of the Given Sequence $$a _ { 1 } = 6 , a _ { n } = \frac { ( - 1 ) ^ { n - 1 } } { a _ { n } - 1 }$$

question 38

Multiple Choice

Find the first four terms of the given sequence.
- $$a _ { 1 } = 6 , a _ { n } = \frac { ( - 1 ) ^ { n - 1 } } { a _ { n } - 1 }$$

• A) \(6 , - \frac { 1 } { 6 } , 6 , - \frac { 1 } { 6 }\)
• B) \(- 6 , \frac { 1 } { 2 } , - \frac { 1 } { 3 } , \frac { 1 } { 4 }\)
• C) \(6 , - \frac { 1 } { 6 } , \frac { 1 } { 36 } , - \frac { 1 } { 216 }\)
• D) \(6 , - \frac { 1 } { 6 } , - 6 , \frac { 1 } { 6 }\)

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Definitions:

Submissiveness

The quality of being inclined or disposed to yield to the authority or will of others, often characterized by a lack of resistance or assertiveness.

Aggressiveness

A behavior characterized by being assertive, bold, and often forceful, potentially aiming to dominate or control.

Major Components

Fundamental parts or elements that make up a system, machine, or compound.

Authority Figure

An individual who holds power or influence over others in a particular context, often due to position, knowledge, or expertise.