Write a Formula for the General Term (The Nth Term) $2 , - 4,8 , - 16,32 , \ldots$

question 70

Multiple Choice

Write a formula for the general term (the nth term) of the geometric sequence.
- $2 , - 4,8 , - 16,32 , \ldots$

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

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Definitions:

Null Hypothesis

A default hypothesis in statistical inference that proposes no significant effect or relationship exists between variables.

Rejected

In statistical hypotheses testing, the term refers to the conclusion to not accept the null hypothesis based on the evidence provided by the data.

Alternative Hypothesis

A statement that contradicts the null hypothesis and indicates what the researcher expects to find.

Type II Error

A statistical error that occurs when a false null hypothesis is not rejected.