Find a Formula for the N Th Term of the Geometric

question 67

Multiple Choice

Find a formula for the n th term of the geometric sequence. Assume that n begins with 1. $4,-10,25,-\frac{125}{2}, \ldots$

• A) \(a_{n}=2\left(-\frac{5}{2}\right)^{n-1}\)
• B) \(a_{n}=2\left(-\frac{5}{2}\right)^{n-2}\)
• C) \(a_{n}=4\left(-\frac{5}{2}\right)^{n-1}\)
• D) \(a_{n}=-2\left(-\frac{5}{2}\right)^{n}\)
• E) \(a_{n}=-4\left(-\frac{5}{2}\right)^{n}\)

---

Definitions:

Orientalizing Period

A phase in Greek art and archaeology (circa 8th–7th century BCE) characterized by Eastern Mediterranean and Near Eastern influences.

Etruscan Society

An ancient civilization of Italy, known for its rich culture, art, and significant influence on Roman society, architecture, and religion.

Mineral Wealth

The abundance of valuable minerals (such as gold, silver, and precious stones) in a particular region, significant for its economic and trade implications.

Etruscan Temples

Religious structures of the ancient Etruscans, characterized by their unique architecture, including high podiums, frontal access, and elaborate terracotta decorations.