Determine If the Series Converges Absolutely, Converges, or Diverges $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 7 } { 4 } - \frac { 2 } { n } \right) ^ { n }$$

question 190

Multiple Choice

Determine if the series converges absolutely, converges, or diverges.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 7 } { 4 } - \frac { 2 } { n } \right) ^ { n }$$

• A) Diverges
• B) converges conditionally
• C) Converges absolutely

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Definitions:

Unequal Variances Test

A statistical test used when comparing two groups that do not assume the variances of the groups are equal.

Normally Distributed

Describes data that follows a normal distribution characterized by a symmetric bell-shaped curve.

Pooled Variance

A method used in statistical analysis to estimate the variance of two or more different populations by pooling their variances, assuming they have the same variance.

Sample Sizes

The number of observations or units chosen from a larger population for the purpose of statistical analysis.