Prove the Inequality for the Indicated Integer Values of N $\left( \frac { 9 } { 7 } \right) ^ { n } > n , n \geq 9$

question 76

Essay

Prove the inequality for the indicated integer values of n. $\left( \frac { 9 } { 7 } \right) ^ { n } > n , n \geq 9$

---

Definitions:

Externality

An effect of economic behavior that impacts people not directly involved in the transaction, which may be beneficial or harmful.

Socially Optimal Quantity

The socially optimal quantity is the level of production of a good or service that maximizes societal welfare, considering both private and external benefits and costs.

Seller

A seller is an individual or entity that offers goods or services for sale in the market.

Buyer

An individual or entity that acquires goods or services in exchange for money, playing a crucial role in the dynamics of supply and demand in the marketplace.