Write the Word or Phrase That Best Completes Each Statement $$5 + 10 + 15 + \ldots + 5 n = \frac { 5 n ( n + 1 ) } { 2 }$$

question 153

Essay

Write the word or phrase that best completes each statement or answers the question.
Use mathematical induction to prove the following statement for all positive integers n.
- $$5 + 10 + 15 + \ldots + 5 n = \frac { 5 n ( n + 1 ) } { 2 }$$

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Definitions:

Decision-Making

The process of making choices among alternative possible courses of action.

Referent Power

Influence based on the leader's personal traits, where followers identify with or want to emulate the leader.

Coercive Power

A form of authority that relies on the use of threats, punishment, or negative reinforcements to influence others' behavior or compliance.

Legitimate Power

A form of authority derived from a position of power within an organization, granting the ability to make decisions, command resources, and enforce obedience.