Provide an Appropriate Response $6 , - 15 , \frac { 75 } { 2 } , - \frac { 375 } { 4 } , \ldots$

question 243

Multiple Choice

Provide an appropriate response.
-Determine the general term of the sequence $6 , - 15 , \frac { 75 } { 2 } , - \frac { 375 } { 4 } , \ldots$

• A) \(a _ { n } = 6 \left( - \frac { 5 } { 2 } \right) ^ { n - 1 }\)
• B) \(a _ { n } = \frac { 5 } { 2 } ( 6 ) ^ { n - 1 }\)
• C) \(a _ { n } = - 6 \left( \frac { 5 } { 2 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = 6 \left( - \frac { 5 } { 2 } \right) ^ { n }\)

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Definitions:

Self-conscious Emotions

Emotions that involve reflection on oneself, such as embarrassment, pride, shame, and guilt.

Stress

A physical or psychological response to internal or external pressures, challenges, or threats.

Social Referencing

The behavior in which individuals look to others in their environment to seek clues for how to react or behave in certain situations or towards novel objects.

Infant

A very young child or baby, typically under one year old.