Write an Expression for the Apparent Nth Term of the Sequence.(Assume

question 141

Multiple Choice

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) $\frac { 1 } { 5 } , \frac { 4 } { 25 } , \frac { 16 } { 125 } , \frac { 64 } { 625 }$

• A) \(a _ { n } = \frac { 4 ^ { n - 1 } } { 5 ^ { n } }\)
• B) \(a _ { n } = \frac { 4 ^ { n - 1 } } { 5 ^ { n - 1 } }\)
• C) \(a _ { n } = \frac { 4 ^ { n + 1 } } { 5 ^ { n + 1 } }\)
• D) \(a _ { n } = \frac { 4 ^ { n } } { 5 ^ { n } }\)
• E) \(a _ { n } = \frac { 4 ^ { n + 1 } } { 5 ^ { n } }\)

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Definitions:

Diplomatic Expertise

The skill and knowledge required to manage international relations and negotiate effectively on behalf of a state.

Differences in Tastes

Variations in consumer preferences that influence demand for products and services across different markets or demographics.

Resource Endowments

The natural resources, labor force, capital, and technology that a country possesses, which influence its economic potential.

Trade Gains

The benefits that countries receive from engaging in international trade, often leading to more efficient production and a greater variety of goods and services.