Write Out the First Five Terms of the Sequence $$a _ { n } = \frac { 3 } { n ^ { 2 } }$$

question 41

Multiple Choice

Write out the first five terms of the sequence.
- $$a _ { n } = \frac { 3 } { n ^ { 2 } }$$

• A) \(1 , \frac { 2 } { 4 } , \frac { 3 } { 9 } , \frac { 4 } { 16 } , \frac { 5 } { 25 }\)
• B) \(\frac { 1 } { 4 } , \frac { 2 } { 9 } , \frac { 3 } { 16 } , \frac { 4 } { 25 } , \frac { 5 } { 36 }\)
• C) \(1 , \frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 1 } { 4 } , \frac { 1 } { 5 }\)
• D) \(3 , \frac { 3 } { 4 } , \frac { 1 } { 3 } , \frac { 3 } { 16 } , \frac { 3 } { 25 }\)

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Definitions:

One-sample Z-test

A statistical test used to determine whether the mean of a sample significantly differs from a known or hypothesized population mean.

Possible Means

The various average values that could be calculated from different subsets or populations of data.

Standard Error

A statistical measure that quantifies the accuracy with which a sample mean represents the population mean, often used in inferential statistics.

Null Hypothesis

The default assumption in statistical testing that there is no effect or no difference, aiming to be either rejected or not rejected based on the data analysis.