Determine Whether the Sequence Defined By $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$

question 9

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$ converges or diverges. If it converges, find its limit.

• A) \(\frac { 1 } { 6 }\)
• B) -5
• C) \(- \frac { 5 } { 6 }\)
• D) Diverges

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Definitions:

Homoscedasticity

A condition in statistical modeling where the variance of the error terms is constant across all levels of the independent variables.

Normality

In statistics, a property describing data sets whose distribution bell-shaped and symmetric about the mean, following the normal distribution pattern.

Multicollinearity

Multicollinearity occurs when independent variables in a regression model are highly correlated, potentially distorting the model's predictions.

Variance Inflation Factor

A metric that quantifies the severity of multicollinearity in regression analysis.