Prove: If N Is an Integer That Is Not a Multiple

question 76

Short Answer

Prove: if n is an integer that is not a multiple of 3, $$\text { then } n ^ { 2 } \equiv 1 \bmod 3$$

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Definitions:

Etiology

The study of the causes or origins of diseases or conditions.

Schizophrenia

A complex psychiatric disorder involving chronic or recurrent psychosis, characterized by disturbances in thought, perception, affect, and behavior.

Excess Dopamine

An above-normal level of dopamine, a neurotransmitter in the brain, which can lead to various psychological and physical issues, including disorders of motivation and movement.

Personality Disorders

Mental disorders characterized by enduring maladaptive patterns of behavior, cognition, and inner experience.