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:

Direct Labor

Direct Labor refers to the wages and salaries paid to employees who are directly involved in the production of goods or services.

Product Costs

Costs that are directly associated with the manufacture of goods, including material, labor, and overhead costs.

Period Costs

Expenses that are not directly tied to the production of goods or services and are charged to the period they occur in.

Product Cost

The total cost involved in manufacturing a product, including raw materials, labor, and overhead expenses.