Find the General Term, An, of the Given Geometric Sequence $\frac { 1 } { 9 } , \frac { 5 } { 9 } , \frac { 25 } { 9 } , \ldots$

question 102

Multiple Choice

Find the general term, an, of the given geometric sequence.
- $\frac { 1 } { 9 } , \frac { 5 } { 9 } , \frac { 25 } { 9 } , \ldots$

• A) \(a _ { n } = \frac { 1 } { 9 } + 5 ( n - 1 )\)
• B) \(a _ { n } = \frac { 1 } { 9 } + \frac { 4 } { 9 } ( n - 1 )\)
• C) \(a _ { n } = \left( \frac { 1 } { 9 } \right) ^ { n - 1 } + \frac { 4 } { 9 }\)
• D) \(a _ { n } = \frac { 1 } { 9 } ( 5 ) ^ { n - 1 }\)

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Definitions:

Aggregate

A collection or sum of many individual parts, units, or individuals considered as a whole in statistics or research.

Collective

Refers to actions or situations that involve or are done by a group of people working together.

Audience Effect

The influence that the presence of others has on an individual's performance or behavior.

Drive Theory

A psychological framework suggesting that motivation arises from biological needs that drive behavior to satisfy them.