Use the Principle of Mathematical Induction to Show That the Statement

question 146

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$\text { Show that the statement "n } { } ^ { 2 } - n + 3 \text { is a prime number" is true for } n = 1 \text {, but is not true for } n = 3 \text {. }$$

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Definitions:

Ambivalence

The simultaneous presence of conflicting emotions, attitudes, or thoughts towards a person, object, or situation.

Protest

An expression or declaration of objection, disapproval, or dissent, often in a public context.

Despair

A profound feeling of hopelessness, dejection, and loss of interest or pleasure in activities, often impeding normal functioning.

Sensory Restriction

a condition in which one or more senses are deliberately reduced or removed for a period of time, impacting perception and potentially leading to various cognitive and psychological effects.