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:

Pre-capitalist

Describing economic and social systems that existed before the widespread adoption of capitalist principles.

Capitalism

An economic system based on private ownership of the means of production and the creation of goods and services for profit in competitive markets.

Lone Parenting

The act of raising children by a single parent, without the support or partnership of the other biological parent.

Singlehood

The state of being unmarried or not involved in a romantic relationship.