Find an Explicit Rule for the Nth Term of the Sequence

question 111

Multiple Choice

Find an explicit rule for the nth term of the sequence.
- $$3 , - 12,48 , - 192 , \ldots$$

• A) \(a _ { n } = 3 \cdot 4 ^ { n + 1 }\)
• B) \(a _ { n } = 3 \cdot ( - 4 ) ^ { n - 1 }\)
• C) \(a _ { n } = 3 \cdot ( - 4 ) ^ { n }\)
• D) \(a _ { n } = 3 \cdot 4 ^ { n - 1 }\)

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Definitions:

Health Prevention

Strategies or measures taken to prevent the occurrence of disease and promote physical and mental health in individuals or communities.

Healthy Behaviors

Actions or practices by individuals that contribute to maintaining or improving their health.

Balanced Diet

A diet consisting of a variety of different types of food and providing adequate amounts of the nutrients necessary for good health.

Transtheoretical Model

A theory of behavior change that outlines six stages individuals go through in altering behavior, ranging from pre-contemplation to maintenance, and identifies strategies to help progress through these stages.