Verify That $a _ { n } = 3^{n}$ Is a Solution to the Recurrence Relation

question 170

Short Answer

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

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Definitions:

Highest Quintile

The top 20 percent of the population or distribution in a given set of data, often used in reference to income or wealth distribution.

Total Income

The sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings received in a given period of time.

Household Income

The combined gross income of all members of a household.

Gini Ratio

A statistical measure used to represent the income or wealth distribution of a nation's residents, indicating economic inequality.