Write an Expression for the Most Apparent Nth Term of the Sequence

question 80

Multiple Choice

Write an expression for the most apparent nth term of the sequence. (Assume that $n$ begins with 1.) $\frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , - \frac { 1 } { 81 } , \frac { 1 } { 243 } , \mathrm {~K}$

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

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Definitions:

Level Of Activity

Refers to the volume of production or operations within a business, which can impact costs and efficiency.

Fixed Costs

Expenses that do not change with the level of production or sales over a short period.

Total Fixed Costs

The cumulative amount of all expenses that do not change in total despite changes in the activity level or volume of production over a certain period.

Activity Is Higher

A state indicating increased levels of operations or actions in a given context.