Determine the Convergence or Divergence of the Series $8 \cdot \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.15 } }$

question 166

Multiple Choice

Determine the convergence or divergence of the series. $8 \cdot \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.15 } }$

• A) converges
• B) diverges
• C) cannot be determined

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Definitions:

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean and is used as a measure of volatility.

Expected Return

The predicted yield or gains an investor anticipates on an investment, based on historical or statistical measures.

Efficient Frontier

A concept in modern portfolio theory representing a set of optimal investment portfolios that offer the highest expected return for a defined level of risk.

Probability Distribution

A function in statistics that identifies and quantifies all plausible values and their chances of occurrence for a random variable over a specific range.