Find the Indicated Term(s) of the Given Sequence $- 3,9 , - 27,81 , \ldots$

question 46

Multiple Choice

Find the indicated term(s) of the given sequence.
-The general term of the sequence $- 3,9 , - 27,81 , \ldots$

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

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Definitions:

Normal Distributions

A probability distribution that is symmetric about its mean, showing that near the mean there's a higher likelihood of occurrence, a foundational concept in statistics.

Skewed

Skewed data are data that are not symmetrically distributed, showing a longer tail on one side of the data distribution.

Standard Normal Distribution

A normal distribution with a mean of 0 and a standard deviation of 1, used in many statistical contexts as a reference for probability calculations.

Theoretical Distribution

A statistical distribution based on assumptions about a population, used as a model to understand or predict real-world phenomena.