Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 0 } ^ { \infty } \frac { 1 } { ( \sqrt { 6 } ) ^ { n } }$$

question 153

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 0 } ^ { \infty } \frac { 1 } { ( \sqrt { 6 } ) ^ { n } }$$

• A) Converges; \(\frac { 6 - \sqrt { 6 } } { 5 }\)
• B) Converges; \(\frac { 6 + \sqrt { 6 } } { 5 }\)
• C) Converges; \(\frac { \sqrt { 6 } - 6 } { 5 }\)
• D) Diverges

---

Definitions:

Substantial

Of considerable importance, size, or worth; significant enough to merit attention.

Assignee

is an individual or entity to whom rights or interests have been transferred by another party.

Timely Fashion

Completing tasks or obligations within a designated or reasonable time frame.

Statute of Frauds

A rule of law that mandates specific types of contracts must be documented and signed by the involved party to deter fraudulent activities and false testimonies.