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

question 76

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:

Logical Assumption

A basic premise or belief that is accepted as true without proof and used as the basis for reasoning or argument.

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