Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 0 } ^ { \infty } \sqrt { 5 }$$

question 272

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 0 } ^ { \infty } \sqrt { 5 }$$

• A) Converges; \(\sqrt { 5 } - 1\)
• B) Converges; \(1 - \sqrt { 5 }\)
• C) Converges; \(\sqrt { 5 } + 1\)
• D) Diverges

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Definitions:

Coefficient of Determination

A statistical measure, often denoted as R-squared, that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.

Linear Regression

A statistical method for modeling the relationship between a dependent variable and one or more independent variables using a linear equation.

Sum of Squares

A statistical measure that quantifies the total variability within a dataset, used in various statistical methods to analyze variance.

Correlation Coefficient

A numerical measure that indicates the extent to which two variables fluctuate together.