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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Definitions:

Proactive Interference

The tendency for previously learned information to hinder the recall of newly learned information.

Long-term Memory

A phase of memory responsible for the storage of information for an extended period, ranging from a few minutes to a lifetime.

Material Interference

In psychology, the effect that the presence of one set of learning material has on the ability to recall or learn another set.

Childhood Amnesia

The phenomenon where early childhood memories, typically before the age of 3 to 4, are not retained into adulthood.