Use Mathematical Induction to Prove That $5 \mid \left( 7 ^ { n } - 2 ^ { n } \right)$

question 13

Essay

Use mathematical induction to prove that $5 \mid \left( 7 ^ { n } - 2 ^ { n } \right)$ for all $n \geq 0$

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Definitions:

Rate of Return

The profit or deficit experienced on an investment, calculated over a particular duration and shown as a fraction of the investment's original value.

Rental Income

Income received from renting out a property or another asset.

Property Taxes

Levies imposed by a government on a property owner, typically based on the value of the property.

Effective Rate

The actual interest rate an individual pays on a loan or earns on an investment, taking into account the effect of compounding.