A Statement Sn About the Positive Integers Is Given $$S _ { n } : 3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n ( 5 n + 1 ) } { 2 }$$

question 186

Essay

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these
statements is true.
- $$S _ { n } : 3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n ( 5 n + 1 ) } { 2 }$$

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Definitions:

Consistent Vision

A clear, unchanging long-term goal or set of goals that guides a company or individual's decisions and strategies.

Transactional Leaders

Leaders who focus on supervision, organization, and performance; they motivate followers through a system of rewards and penalties.

Identify with Leaders

The process of recognizing oneself in or aligning oneself with the characteristics, values, or attitudes of leaders.

Vision and Values

The foundational principles and long-term objectives that guide an organization's actions and decisions.