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

question 36

Multiple Choice

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.

• A) 6
• B) 14
• C) 26
• D) 17
• E) 15

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Definitions:

Ethnic Succession

A theory suggesting that different ethnic groups move into, and subsequently out of, low-status and often criminally associated roles as part of a cyclical process driven by social and economic forces.

Extort

To obtain something through force, threats, or intimidation.

Sponsored

Supported financially by another party (often a company) in exchange for advertising or promoting their products or interests.

Dominating The Crime Scene

The act of controlling or having significant influence over the circumstances and outcomes at the location where a crime has occurred.