Determine Whether the Sequence Defined By $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$

question 41

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$ converges or diverges. If it converges, find its limit.

• A) 1
• B) \(\frac { 5 } { 8 }\)
• C) 0
• D) Diverges

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Definitions:

Skewed Distribution

Describes a situation in data distribution where the results are not symmetrically distributed, often leaning towards one side, either left or right.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how spread out the values are from the mean.

Normal Model

A statistical model based on the normal (Gaussian) distribution, depicting how data points vary or are distributed around the mean.

Standard Deviation

An index reflecting how significantly a series of statistics diverges or spreads.