Select the First Five Terms of the Sequence $a _ { n } = \left( - \frac { 1 } { 3 } \right) ^ { n }$

question 206

Multiple Choice

Select the first five terms of the sequence.(Assume that n begins with 1.) $a _ { n } = \left( - \frac { 1 } { 3 } \right) ^ { n }$

• A) \(- \frac { 1 } { 3 } , \frac { 1 } { 9 } , - \frac { 1 } { 27 } , \frac { 1 } { 81 } , - \frac { 1 } { 243 }\)
• B) \(- \frac { 1 } { 3 } , - \frac { 1 } { 6 } , \frac { 1 } { 27 } , \frac { 1 } { 12 } , - \frac { 1 } { 243 }\)
• C) \(- \frac { 1 } { 3 } , \frac { 1 } { 6 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , - \frac { 1 } { 15 }\)
• D) \(\frac { 1 } { 3 } , - \frac { 1 } { 6 } , \frac { 1 } { 9 } , - \frac { 1 } { 12 } , \frac { 1 } { 15 }\)
• E) \(- \frac { 1 } { 3 } , \frac { 1 } { 9 } , - \frac { 1 } { 9 } , \frac { 1 } { 81 } , - \frac { 1 } { 15 }\)

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Definitions:

Standard Deviation

A measure that describes the amount of variation or dispersion of a set of values from the mean, indicating the spread or variability of the data.

Mean

Calculated by dividing the total of the numbers by their quantity, the average represents the mean value of a set.

Median

The middle value in an ordered list of numbers, effectively dividing the dataset into two halves.

Central Location

The midpoint or center of a dataset where it tends to cluster around.