Use the Principle of Mathematical Induction to Show That the Mathematical

question 181

Essay

Use the principle of mathematical induction to show that the mathematical statement is true for all natural numbers n.
- $$S _ { n } : 5 + \frac { 5 } { 6 } + \frac { 5 } { 36 } + \ldots + \frac { 5 } { 6 ^ { n - 1 } } = 6 \left( 1 - \frac { 1 } { 6 ^ { n } } \right)$$

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Definitions:

Homosexuality

An orientation wherein individuals experience romantic or sexual feelings towards people of their own gender.

Lesbianism

The romantic or sexual attraction or behavior between women.

Sexual Harassment

Unwelcome or inappropriate sexual advances, requests for sexual favors, and other verbal or physical conduct of a sexual nature in the workplace or other professional or social situations.

Female Managers

Women who hold leadership positions within organizations, responsible for planning, decision-making, and overseeing employees.