The Sequence Is Defined Recursively $$a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2$$

question 108

Multiple Choice

The sequence is defined recursively. Write the first four terms.
- $$a _ { 1 } = 4 \text { and } a _ { n } = 4 a _ { n - 1 } - 4 \text { for } n \geq 2$$

• A) 4, 20, 84, 340
• B) 4, 16, 64, 256
• C) 4, 12, 60, 252
• D) 4, 12, 44, 172

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Definitions:

Self-Interest

The consideration of personal benefit or advantage, which often motivates behavior and decision-making.

Commons Dilemma

A situation in which individual interests conflict with collective well-being, often resulting in the overuse or depletion of shared resources.

Renewable Resource

A natural resource that can replenish itself over time through natural processes, such as solar energy, wind, and water cycles.

Cooperation

The process of working together towards a common goal or benefit.