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

question 58

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. Select the correct answer.

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

---

Definitions:

Outlier

An observation that lies an abnormal distance from other values in a random sample from a population.

Linear Model

A mathematical model that assumes a linear relationship between input variables and the single output variable, where the output can be calculated from a linear combination of the inputs.

Psychologist

A professional specializing in diagnosing and treating mental health issues, through various forms of therapy and assessment.

Rusted Iron Gate

A metal barrier or entrance that has undergone oxidation, showing signs of wear, corrosion, and a reddish-brown discoloration.