Determine Whether the Series Is Convergent or Divergent $\sum _ { n = 1 } ^ { \infty } \frac { 5 n ^ { 3 } + n } { \sqrt { 7 n ^ { 7 } + \ln n } }$

question 138

Short Answer

Determine whether the series is convergent or divergent. $\sum _ { n = 1 } ^ { \infty } \frac { 5 n ^ { 3 } + n } { \sqrt { 7 n ^ { 7 } + \ln n } }$

---

Definitions:

Standard Deviation

A statistical measurement of variation or dispersion around an average, indicating how much a set of numbers is spread out.

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two variables on a scale from -1 to 1.

Treasury Yields

Treasury yields are the returns on investment for U.S. government debt obligations, such as bonds, notes, and bills, serving as a benchmark for other interest rates.

Systematic Risk

Systematic risk is the part of an investment's risk that is attributable to factors that affect the entire market or asset class, such as economic, political, or natural events, and cannot be eliminated through diversification.