Find a General Term an for the Geometric Sequence $$a _ { 1 } = 4 , r = \frac { 4 } { 5 }$$

question 212

Multiple Choice

Find a general term an for the geometric sequence.
- $$a _ { 1 } = 4 , r = \frac { 4 } { 5 }$$

• A) \(a _ { n } = 4 ^ { n - 1 } - \frac { 16 } { 5 }\)
• B) \(a _ { n } = 4 - \frac { 16 } { 5 } ( n - 1 )\)
• C) \(a _ { n } = 4 + \frac { 1 } { 5 } ( n - 1 )\)
• D) \(a _ { n } = 4 \cdot \left( \frac { 4 } { 5 } \right) ^ { n - 1 }\)

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Definitions:

Representativeness Heuristic

A mental shortcut that involves making judgments based on how much one thing resembles another, which can lead to biases in decision making.

Base-Rate Information

Statistical data that provides foundational probabilities of certain events or characteristics within a specific population.

Script Information

Knowledge structures stored in memory that dictate the sequence of actions in specific contexts.

Representativeness Heuristic

A cognitive shortcut that involves judging the probability of an event by its similarity to a prototype.