Determine Convergence or Divergence of the Series $$\sum _ { n = 1 } ^ { \infty } n ^ { 2 } e ^ { - 7 n ^ { 8 } }$$

question 30

Multiple Choice

Determine convergence or divergence of the series.
- $$\sum _ { n = 1 } ^ { \infty } n ^ { 2 } e ^ { - 7 n ^ { 8 } }$$

• A) Diverges
• B) Converges

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Definitions:

Correlation

An association between two variables.

Scatterplot

A type of graph in statistics used to display values for typically two variables for a set of data.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values differ from the mean.

Mean

Often referred to as average; the sum of all the numbers in a data set divided by the number of elements in the data set.