Write a Formula for the General Term (The Nth Term) $$\mathbf { a } _ { \mathbf { n } }$$

question 201

Multiple Choice

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for $$\mathbf { a } _ { \mathbf { n } }$$ to find $$a _ { 20 }$$ , the 20th term of the sequence.
- $- 3,3,9,15,21 , \ldots$

• A) \(a _ { n } = 6 n - 9 ; a _ { 20 } = 111\)
• B) \(a _ { n } = 6 n - 3 ; a _ { 20 } = 117\)
• C) \(a _ { n } = 9 n - 3 ; a _ { 20 } = 177\)
• D) \(a _ { n } = 9 n - 6 ; a _ { 20 } = 174\)

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Definitions:

Factor A Levels

Factor A Levels refer to the different categories or values that an experimental factor, known as Factor A, can assume in an experiment.

Significance Level

A threshold in hypothesis testing that defines the probability of rejecting a true null hypothesis, commonly denoted by alpha (α).

Test Statistic

A numerical value calculated from a sample used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Normal Distribution

A probability distribution characterized by its symmetry surrounding the mean, demonstrating that data points close to the mean occur more frequently than those at a greater distance.