Use the Formula for the General Term of a Geometric $$\mathbf { a } _ { 1 }$$

question 290

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
- $- 3 , - 9 , - 27 , - 81 , - 243 , \ldots$

• A) \(a _ { n } = - 3 ( 3 ) ^ { n - 1 }\)
• B) \(a _ { n } = - 3 ( 3 ) ^ { n }\)
• C) \(a _ { n } = a _ { 1 } + 3 ^ { n }\)
• D) \(a _ { n } = - 3 ( 3 n )\)

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Definitions:

Differential Cost

The amount of increase or decrease in cost expected from a particular course of action compared with an alternative.

Unit Cost

The total expense incurred to produce, store, and sell one unit of a product, including direct materials, direct labor, and overhead costs.

Modifying Style

The process of altering or customizing a particular format or design to meet specific requirements.

Sunk Cost

Costs that have already been incurred and cannot be recovered, which should not influence future financial decisions.