Find the Indicated Term of the Sequence $$a _ { n } = 5 n ^ { 2 } ( 15 n - 118 ) ; a _ { 6 }$$

question 78

Multiple Choice

Find the indicated term of the sequence.
- $$a _ { n } = 5 n ^ { 2 } ( 15 n - 118 ) ; a _ { 6 }$$

• A) \(- 6120\)
• B) \(- 5040\)
• C) 38,520
• D) 37,440

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Definitions:

Profit-Maximizing

A strategic goal of businesses to achieve the highest possible profit from their operations, often involving decisions on production levels, pricing, and resource allocation.

Pure Monopoly

A situational framework in the economy where a sole provider monopolizes the supply of a particular good or service, without any comparable replacements.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded, usually depicted as downward sloping.

Slopes Downward

Used to describe a graph line that indicates a decrease in one variable as another variable increases, often related to demand curves in economics.