Find the General Term an of the Given Sequence $3,9,27,81,243 , \ldots$

question 82

Multiple Choice

Find the general term an of the given sequence.
- $3,9,27,81,243 , \ldots$

• A) \(a _ { n } = 3 ^ { n - 1 } + 2\)
• B) \(a _ { n } = 3 + 6 ( n - 1 )\)
• C) \(a _ { n } = 6 n\)
• D) \(a _ { n } = 3 n\)

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Definitions:

Heredity

Heredity is the passing on of physical or mental characteristics genetically from one generation to another.

Imprinting

A form of rapid learning that occurs during a brief receptive period, typically soon after birth or hatching, which establishes a long-lasting behavioral response to a specific individual or object.

Reactive Nervous System

Refers to the part of the nervous system that responds spontaneously to stimuli, often indicative of an instinctual or immediate reaction.

Anxious

Experiencing worry, unease, or nervousness, typically about an imminent event or something with an uncertain outcome.