Provide an Appropriate Response $6 , - 15 , \frac { 75 } { 2 } , - \frac { 375 } { 4 } , \ldots$

question 243

Multiple Choice

Provide an appropriate response.
-Determine the general term of the sequence $6 , - 15 , \frac { 75 } { 2 } , - \frac { 375 } { 4 } , \ldots$

• A) \(a _ { n } = 6 \left( - \frac { 5 } { 2 } \right) ^ { n - 1 }\)
• B) \(a _ { n } = \frac { 5 } { 2 } ( 6 ) ^ { n - 1 }\)
• C) \(a _ { n } = - 6 \left( \frac { 5 } { 2 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = 6 \left( - \frac { 5 } { 2 } \right) ^ { n }\)

---

Definitions:

Economic Profits

The net amount left when a business subtracts its full range of costs, explicit and implicit, from its entire revenue.

New Market

An emerging or previously unexplored segment of an industry where a business can expand or introduce its products or services.

Repeated Game

A strategic scenario in game theory where the same game is played several times, allowing players to revise their strategy based on past outcomes.

Nash Equilibrium

A concept in game theory where each player's strategy is optimal given the strategies of all other players in the game, leading to a situation from which no player has an incentive to deviate.