Prove: If $n$ Is an Integer That Is Not a Multiple of 3

question 125

Essay

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

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Definitions:

Layoff Dozens

The act of dismissing a large number of employees from their jobs in a relatively short period, often for economic reasons.

Utilitarian

Pertaining to the philosophy that the best action is the one that maximizes utility, typically defined as that which produces the greatest well-being of the greatest number of people.

Ethical Decision-making

The process of evaluating and choosing among alternatives in a manner consistent with ethical principles.

Decision-making Approach

A systematic process for making choices among various alternatives, often involving steps such as identifying a problem, generating options, and selecting a course of action.