Use Mathematical Induction to Prove the Following Inequality for All $n \geq 2$

question 86

Essay

Use mathematical induction to prove the following inequality for all $n \geq 2$ .
$( 3 ) ^ { n + 3 } > \frac { 27 } { 2 } n ( 2 ) ^ { n + 1 }$

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Definitions:

Equilibrium Wage

The compensation rate at which labor demand from businesses meets labor supply from employees.

Wage Rate

The amount of money paid to a worker per unit of time, usually expressed per hour or year.

Supply Curve

A graphical representation showing the quantity of goods that producers are willing and able to sell at different prices.

Market for Labor

The economic marketplace where employers find workers and workers find jobs.