Use the Root Test to Determine the Convergence or Divergence $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 4 n } { 3 n + 1 } \right) ^ { n }$$

question 38

Multiple Choice

Use the Root Test to determine the convergence or divergence of the series. $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 4 n } { 3 n + 1 } \right) ^ { n }$$

• A) converges
• B) diverges
• C) Root Test inconclusive

---

Definitions:

Soviet Union

A socialist state that existed from 1922 to 1991, composed of multiple subnational Soviet republics, and was one of the world's two superpowers during the Cold War, alongside the United States.

Caucasian Race-Equal Privileges

The concept that individuals identified as belonging to the Caucasian race should have the same rights and opportunities as those of other races.

Japanese-Americans

Americans of Japanese ancestry, many of whom were subject to internment during World War II.

Public Accommodations

Facilities and entities that provide goods or services to the public, including hotels, restaurants, theaters, and more, often subject to regulations preventing discrimination.