Use Mathematical Induction to Prove That $2 \mid \left( n ^ { 2 } + n \right) \text { for all } n \geq 0 \text {. }$

question 51

Essay

Use mathematical induction to prove that $2 \mid \left( n ^ { 2 } + n \right) \text { for all } n \geq 0 \text {. }$

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Definitions:

Compassion Fatigue

Emotional exhaustion experienced by caregivers and medical professionals due to the stress of caring for patients over an extended period.

Workload

The amount of work assigned to or expected from a person within a given time period.

Exhausted

A state of extreme physical or mental fatigue, often resulting from prolonged stress, activity, or lack of sleep.

General Adaptation Theory

A theory by Hans Selye that describes the body's short-term and long-term reactions to stress, including stages of alarm, resistance, and exhaustion.