Use Mathematical Induction to Prove the Given Statement for All $$\sum _ { i = 1 } ^ { n } 2 i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 3 }$$

question 187

Short Answer

Use mathematical induction to prove the given statement for all positive integers n.
- $$\sum _ { i = 1 } ^ { n } 2 i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 3 }$$

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Charismatic Leadership

A leadership style characterized by an individual's ability to inspire and motivate followers through their personal charm and persuasion.

Idealized Influence

A component of transformational leadership where leaders act as role models and earn respect and trust, inspiring followers through their behavior and beliefs.

Transactional Leadership

A leadership style that focuses on supervision, organization, and performance; transactional leaders reward or penalize their followers based on their performance.

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Refers to a leadership model that specifies a range of leadership behavior from transactional through transformational, focusing on the full scope of leadership actions.