Determine Whether or Not the Following Sequence Converges

question 202

Short Answer

Determine whether or not the following sequence converges. If it does converge, what is its limit? Enter "Yes" if the sequence converges, and "No" if it does not.

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Definitions:

Standard Error

A statistical measure that describes the accuracy with which a sample distribution represents a population by quantifying the dispersion of sample means around the population mean.

Critical Value Approach

A method of statistical testing which involves comparing the calculated value of a test statistic to a critical value to decide whether or not to reject the null hypothesis.

Null Hypothesis

A statement used in statistics that proposes there is no significant difference or effect, serving as the default assumption to be tested against an alternative hypothesis.

Test Statistic

A statistic (a function of the data) used in statistical hypothesis testing to decide whether to reject the null hypothesis.