Write the Expression for the General (Or Nth)termrm $\mathbf { a } _ { \mathbf { n } } ,$

question 53

Multiple Choice

Write the expression for the general (or nth) termrm, $\mathbf { a } _ { \mathbf { n } } ,$ , of the geometric sequence.
- $\frac { 1 } { 4 } , \frac { 3 } { 4 } , \frac { 9 } { 4 } , \frac { 27 } { 4 } , \ldots$

• A) \(a _ { n } = \frac { 1 } { 4 } ( 3 ) ^ { n - 1 }\)
• B) \(a _ { n } = \left( \frac { 1 } { 4 } \right) ^ { n - 1 } + \frac { 1 } { 2 }\)
• C) \(a _ { n } = \frac { 1 } { 4 } + \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = \frac { 1 } { 4 } + 3 ( n - 1 )\)

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Definitions:

Additional Factory

A supplementary manufacturing facility established by a company to increase production capacity.

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Entities within an organization responsible for the creation of products or services.

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A cereal plant that yields large kernels set in rows on a cob; an important crop for food, animal feed, and industrial products.

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A unit of volume used primarily in the United States for measuring agricultural commodities, equivalent to approximately 35.24 liters.