Find the Sum of the Series $\sum _ { n = 3 } ^ { \infty } \frac { 1 } { 4 n ^ { 2 } - 1 }$

question 5

Multiple Choice

Find the sum of the series $\sum _ { n = 3 } ^ { \infty } \frac { 1 } { 4 n ^ { 2 } - 1 }$ .

• A) \(\frac { 1 } { 5 }\)
• B) \(\frac { 1 } { 20 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 1 } { 10 }\)
• E) \(\frac { 1 } { 4 }\)
• F) \(\frac { 1 } { 3 }\)
• G) \(\frac { 1 } { 6 }\)
• H)Divergent

---

Definitions:

Northern Industrialists

Entrepreneurs and business owners in the northern United States before and during the Civil War who benefited from and supported industrialization and the abolition of slavery.

Southern Landowners

Traditionally refers to the wealthy individuals who owned expansive tracts of agrarian land in the Southern United States, playing a crucial role in the region's economy, politics, and social structure, particularly in the era of slavery.

Alsace

A historical region in eastern France, known for its strategic importance and cultural blend of French and German influences, often a point of contention between the two countries.

France and Germany

Two major European countries with a complex history of rivalry, cooperation, and influential roles in European and world affairs.