Write an Expression for the Nth Term of the Geometric $$a _ { 1 } = 6 , r = - \frac { 1 } { 5 } , n = 12$$

question 32

Multiple Choice

Write an expression for the nth term of the geometric sequence.Then find the indicated term.? $$a _ { 1 } = 6 , r = - \frac { 1 } { 5 } , n = 12$$ ?

• A) \(a _ { n } = 6 \left( - \frac { 1 } { 5 } \right) ^ { n - 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• B) \(a _ { n } = 5 \left( - \frac { 1 } { 2 } \right) ^ { n + 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• C) \(a _ { n } = 6 \left( - \frac { 1 } { 5 } \right) ^ { n + 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• D) \(a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\) , \(\frac { 6 } { 48,828,125 }\)
• E) \(a _ { n } = 5 \left( - \frac { 1 } { 4 } \right) ^ { n - 1 }\) , \(\frac { 6 } { 48,828,125 }\)

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Definitions:

Income Statement

A financial document that provides a summary of a company’s revenues, expenses, and profits/losses over a specific period, showing how the revenue is transformed into net income.

Variable Expenses

Expenses that vary directly with the amount of production or activity level.

Fixed Expenses

Costs that do not fluctuate with the volume of production or sales, remaining constant over a period, such as rent, salaries, and insurance premiums.

Net Operating Income

A gauge of a corporation's earnings from its main operating activities, not including the effects of interest and taxes.