Prove That the Following Is True for All Positive Integers

question 59

Essay

Prove that the following is true for all positive integers n: n is even if and only if 3n² + 8 is even.

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Definitions:

Guilt

A cognitive or emotional experience that occurs when a person believes or realizes—accurately or not—that they have compromised their own standards of conduct or violated a moral standard.

Acute Stress Disorder

A psychological condition that occurs in response to a traumatic event, characterized by a range of symptoms including anxiety, detachment, and other dissociative symptoms.

Posttraumatic Stress Disorder

A psychiatric disorder that can occur in people who have experienced or witnessed a traumatic event, characterized by symptoms such as flashbacks, nightmares, and severe anxiety.

DSM-5

The fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, a comprehensive classification of mental health conditions and criteria for diagnoses.