Use the Principle of Mathematical Induction to Show That the Mathematical

question 41

Essay

Use the principle of mathematical induction to show that the mathematical statement is true for all natural numbers n.
- $$S _ { n } : 1 + 6 + 11 + \ldots + ( 5 n - 4 ) = \frac { n ( 5 n - 3 ) } { 2 }$$

---

Definitions:

Scientific Management

A theory of management that analyzes and synthesizes workflows, aiming to improve economic efficiency, especially labor productivity.

Maximum Efficiency

The highest level of productivity and effectiveness that can be achieved with the least amount of waste, effort, or expense.

Economic Benefits

Financial advantages or gains obtained from a particular activity, investment, or decision.

Job Specialization

The process of focusing one's occupational concentration on a specific area of expertise, making the individual more adept at a particular task.