Find the Nth Term of the Geometric Sequence $5 , - 15,45 , - 135,405$

question 175

Multiple Choice

Find the nth term of the geometric sequence.
- $5 , - 15,45 , - 135,405$

• A) \(a _ { n } = 5 \cdot ( - 3 ) ^ { n - 1 }\)
• B) \(a _ { n } = 5 \cdot ( - 3 ) n\)
• C) \(a _ { n } = a _ { 1 } - 3 ^ { n }\)
• D) \(a _ { n } = 5 \cdot ( - 3 ) ^ { n }\)

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Definitions:

Colonizing Nations

Countries that establish and maintain colonies in other lands, typically to exploit resources and spread their influence.

Core

The central, most important, or foundational part of something, often referring to the main area of concentration in a field of study or the primary group within a society.

Semiperiphery

Countries that occupy an intermediate position in the global economic system, neither fully developed nor among the least developed.

Periphery

In the context of world systems theory, refers to countries that are less developed, often exploited for their resources by more developed core countries, and have weaker economic and political systems.