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 $n \geq 0$

---

Definitions:

Directive Leaders

Leaders who provide clear, explicit directions and expectations to their group or team members.

Nondirective Leaders

Leadership style characterized by offering support and encouragement without directly controlling team members, allowing them autonomy and self-direction.

Consumer Reports

Independent, nonprofit organization that tests, rates, and reviews a wide variety of consumer products and services based on impartial research and analysis.

Premature Termination

Refers to the discontinuation of a process or interaction earlier than planned or expected, often without reaching a conclusion or resolution.