Find the Nth Term and the Indicated Term of the Arithmetic

question 42

Multiple Choice

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are
given.
- $$\begin{array} { l l } a = - 2 ; & d = 3 \\a _ { n } = ? ; & a 7 = ?\end{array}$$

• A) \(a _ { n } = - 5 + 3 n ; a 7 = 16\)
• B) \(a _ { n } = - 5 + 3 n ; a 7 = 40\)
• C) \(a _ { n } = - 2 + 3 n ; a 7 = 16\)
• D) \(a _ { n } = - 5 - 3 n ; a 7 = 16\)

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Definitions:

Type II Error

A statistical error that occurs when a false null hypothesis is not rejected, also known as a false negative.

Not Guilty

A legal declaration that a defendant has not been proven to have committed the charges against them beyond a reasonable doubt.

Hypothesis Test

A method in statistics to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.

P-Value

The probability of observing test results at least as extreme as the results actually observed, assuming that the null hypothesis is correct.