Use the Root Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { n ^ { 2 } } - \frac { 1 } { n ^ { 5 } } \right) ^ { n }$$

question 96

Multiple Choice

Use the Root Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { n ^ { 2 } } - \frac { 1 } { n ^ { 5 } } \right) ^ { n }$$

• A) Diverges
• B) Converges

Understand the impact of societal and demographic changes on family structures and dynamics.

Appreciate the complexity and variability of family compositions and headship across different communities, with a particular focus on gender.

Analyze the reasons behind changes in marriage, divorce, and cohabitation rates in contemporary society.

Examine the role of social theories, including social exchange theory, family life course development theory, functionalist perspective, and conflict perspective, in understanding family dynamics.

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Definitions:

Pounds

Pounds are a unit of weight measurement in the imperial system, equivalent to 0.453592 kilograms.

Least Squares Line

A regression line determined by minimizing the sum of the squares of the differences between observed and predicted values.

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