Write the Word or Phrase That Best Completes Each Statement $$2 \text { is a factor of } n ^ { 2 } - n + 2$$

question 42

Essay

Write the word or phrase that best completes each statement or answers the question. Use mathematical induction to prove that the statement is true for every positive integer n.
- $$2 \text { is a factor of } n ^ { 2 } - n + 2$$

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Definitions:

Addition Rule

In probability, a rule that calculates the likelihood of any of two or more mutually exclusive events occurring.

Automobile Accident

An unexpected event involving a vehicle that usually results in damage and/or injury.

Mutually Exclusive

Events or conditions that cannot occur simultaneously or cannot both be true at the same time.

Addition Rule

A principle in probability theory that determines the probability of the occurrence of at least one of two events, taking into account their joint probability if they are not mutually exclusive.