A Sequenceis $\left\{ a _ { n } \right\}$ Defined Recursively by the Equation

question 10

Short Answer

A sequenceis $\left\{ a _ { n } \right\}$ defined recursively by the equation $a _ { n } = 0.5 \left( a _ { n - 1 } + a _ { n - 2 } \right)$ for $n \geq 3$ where $a _ { 1 } = 14 , a _ { 2 } = 14$ .
Use your calculator to guess the limit of the sequence.

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Definitions:

Patriarchal System

A social system in which men hold primary power and predominate in roles of political leadership, moral authority, social privilege, and control of property.

Hierarchy

A system in which members of an organization or society are ranked according to relative status or authority.

Radical Feminism

A perspective within feminism that emphasizes the patriarchal roots of inequality between men and women.

Women's Oppression

A systemic phenomenon where women are discriminated against and subjected to various forms of social, economic, and political marginalization and violence.