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:

Behavioral Genetics

The study of genetic and environmental influences on behaviors.

Psychological Disorders

Mental disorders characterized by patterns of behavior or thought that are significantly distressing or impairing to an individual’s ability to function.

Neurotransmitters

Chemical messengers that transmit signals across synapses from one neuron to another in the nervous system.

Neuron

A specialized cell of the nervous system that receives and transmits messages.