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

question 68

Short Answer

Prove: if n is an integer that is not a multiple of 4, $$\text { then } n ^ { 2 } \equiv 0 \bmod 4 \text { or } n ^ { 2 } \equiv 1 \bmod 4 \text {. }$$

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Definitions:

Learned Helplessness

A psychological condition in which an individual becomes passive and unable to act to escape adverse situations due to previous exposure to uncontrollable events.

Pessimistic Explanatory Style

A tendency to explain negative events as permanent, pervasive, and personal causes, often linked to feelings of helplessness and depression.

Seligman

Martin Seligman is a psychologist known for his work on learned helplessness, positive psychology, and well-being.

College Students

Individuals enrolled in an institution of higher education pursuing undergraduate or postgraduate courses.