Verify That $a _ { n } = 7 \cdot 3 ^ { n } - \pi$

question 97

Essay

Verify that $a _ { n } = 7 \cdot 3 ^ { n } - \pi$ is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

Situational Risk

The risk of unfavorable outcomes arising from specific situations or environments.

Ambient Risk

The background level of risk in a given environment or situation, often beyond the immediate control of individuals.

Unnecessary Risk

A hazard or chance of adverse outcomes that could be avoided through careful planning or decision-making.

Field Notes

Written records made by researchers or practitioners during or after their observation of a specific phenomenon or social setting.