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

question 16

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 $a _ { 1 } = 16 , a _ { 2 } = 8$ . Use your calculator to guess the limit of the sequence.

• A) 13
• B) \(6\)
• C) 12
• D) \(17\)
• E) \(26\)

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