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

question 21

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:

Social Loafing

A phenomenon where individuals exert less effort to achieve a goal when they work in a group than when they work alone.

Collectivist Values

Cultural or social values that emphasize the priority of group goals over individual goals and the importance of cohesiveness within social groups.

Social Loafing

The tendency for individuals to exert less effort when working in a group than when working alone.

Common Output

The shared result or product produced by a team or group working towards a common goal.