Find the Radius of Convergence and the Interval of Convergence $$\sum _ { n = 1 } ^ { \infty } \frac { 3 \cdot 6 \cdot 9 \cdot \cdots \cdot 3 n } { 4 \cdot 7 \cdot 10 \cdots \cdot ( 3 n + 1 ) } x ^ { 2 n + 1 }$$

question 30

Short Answer

Find the radius of convergence and the interval of convergence of the power series.
$$\sum _ { n = 1 } ^ { \infty } \frac { 3 \cdot 6 \cdot 9 \cdot \cdots \cdot 3 n } { 4 \cdot 7 \cdot 10 \cdots \cdot ( 3 n + 1 ) } x ^ { 2 n + 1 }$$

---

Definitions:

Modern Concept

Modern concept emphasizes current, contemporary ideas or approaches that break from traditional norms or historical practices.

Value

The importance, worth, or usefulness of something, often measured in terms of money, but also can be subjective, depending on individual assessment.

Law Merchant

In England, the commercial law developed by merchants who needed a set of rules to govern their business transactions.

Holder in Due Course

A person or entity that has acquired a negotiable instrument in good faith and has certain protections under the law.