Use Mathematical Induction to Prove That $4 \mid \left( 9 ^ { n } - 5 ^ { n } \right)$

question 8

Essay

Use mathematical induction to prove that $4 \mid \left( 9 ^ { n } - 5 ^ { n } \right)$ for all $n \geq 0$

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Definitions:

Multiple Approach-avoidance Conflict

A psychological situation involving a decision between alternatives, each with both positive and negative elements.

Homeostasis

The tendency of the body to maintain a steady state.

Eustress

Positive stress that motivates and enhances one's functioning or performance.

External Locus of Control

The belief that one's life outcomes are largely determined by external forces beyond one's personal control or influence.