Find the Common Ratio R for the Given Infinite Geometric $$\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \frac { 256 } { 3 } , \frac { 1024 } { 3 } , \ldots$$

question 320

Multiple Choice

Find the common ratio r for the given infinite geometric sequence.
- $$\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \frac { 256 } { 3 } , \frac { 1024 } { 3 } , \ldots$$

• A) \(\frac { 1 } { 4 }\)
• B) 10
• C) 12
• D) 4

---

Definitions:

New Netherland

A colonial province on North America's East Coast in the 17th century, belonging to the Dutch Republic.

Dutch Empire

The territories and trading posts around the world that were controlled by the Netherlands from the 17th to the 20th century, including colonies in the Americas, Africa, and Asia.

Populated Colony

A territory occupied and controlled by a foreign power that is significantly inhabited, often by settlers from the colonizing country or by indigenous peoples.

Important

Significance or value attributed to a person, object, or idea based on its impact, role, or contribution to a larger context or purpose.