Find the General Term, An, of the Given Geometric Sequence $1 , \frac { 1 } { 6 } , \frac { 1 } { 36 } , \ldots$

question 12

Multiple Choice

Find the general term, an, of the given geometric sequence.
- $1 , \frac { 1 } { 6 } , \frac { 1 } { 36 } , \ldots$

• A) \(a _ { n } = \frac { 1 } { 6 ^ { n - 1 } }\)
• B) \(a _ { n } = \frac { 1 } { 6 ^ { 1 - n } }\)
• C) \(a _ { n } = \frac { 1 } { 6 ( n - 1 ) }\)
• D) \(a _ { n } = 1 - \left( \frac { 5 } { 6 } \right) ^ { n }\)

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Definitions:

68-95-99.7 Rule

A statistical rule stating that for a normal distribution, approximately 68% of data values fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Natural Tolerances

The inherent variability found within a natural process or system's parameters.

Normal Distribution

It is characterized by a symmetric shape around the mean, where data samples are more densely populated close to the mean and less so the farther they are from it.

Inside Diameter

The measure of the distance across the innermost part of a hollow object or space.