Find the Interval of Convergence For $\sum _ { k = 1 } ^ { \infty } \frac { ( - 1 ) ^ { k } ( x - 3 ) ^ { k } } { 5 ^ { k } ( k + 1 ) }$

question 126

Essay

Find the interval of convergence for $\sum _ { k = 1 } ^ { \infty } \frac { ( - 1 ) ^ { k } ( x - 3 ) ^ { k } } { 5 ^ { k } ( k + 1 ) }$ .

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Definitions:

Coefficient Of Correlation

An analytical tool that evaluates the strength of the association between the relative shifts of two variables.

Independent Variables

Independent variables are the factors in an experiment that are manipulated or changed by the researcher to investigate their effects on the dependent variables.

Distribution

The way in which something is shared or spread out over an area or among a population.

COV

The coefficient of variation, a measure of relative variability that describes the ratio of the standard deviation to the mean.