Find an Explicit Rule for the Nth Term of the Sequence

question 60

Multiple Choice

Find an explicit rule for the nth term of the sequence.
-The second and fifth terms of a geometric sequence are $- 16$ and 128 , respectively.

• A) \(a _ { n } = 8 \cdot ( - 2 ) ^ { n + 1 }\)
• B) \(a _ { n } = 8 \cdot 2 ^ { n }\)
• C) \(a _ { n } = 8 \cdot ( - 2 ) ^ { n - 1 }\)
• D) \(a _ { n } = 8 \cdot 2 ^ { n - 1 }\)

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Definitions:

Random Assignment

A method used in experiments to evenly distribute individuals across treatment groups, minimizing biases and ensuring that differences observed are due to the experimental treatment.

Operational Definitions

Operational definitions specify the measurable conditions or specific procedures used to determine the presence, quantity, or quality of a variable, facilitating clear communication and replication in research.

Reckless Behavior

Actions taken without considering the safety of oneself or others, often with a disregard for the consequences.

Self-Control

Self-control refers to the ability to regulate one's emotions, thoughts, and behaviors in the face of temptations and impulses.