Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 4 , r = \frac { 1 } { 6 } , n = 10$

question 339

Multiple Choice

Write an expression for the nth term of the geometric sequence.Then find the indicated term. $a _ { 1 } = 4 , r = \frac { 1 } { 6 } , n = 10$

• A) \(a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• B) \(a _ { n } = 4 \left( \frac { 1 } { 6 } \right) ^ { n - 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• C) \(a _ { n } = 4 \left( \frac { 1 } { 6 } \right) ^ { n + 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• D) \(a _ { n } = 6 \left( \frac { 1 } { 2 } \right) ^ { n + 1 }\) , \(\frac { 1 } { 2,519,424 }\)
• E) \(a _ { n } = \left( \frac { 1 } { 4 } \right) ^ { n - 1 }\) , \(\frac { 1 } { 2,519,424 }\)

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Definitions:

Monopoly Power

The ability of a single company or organization to control or dominate an industry or market, limiting competition.

Anticompetitive Effect

Actions or practices that reduce or eliminate competition in a market, often deemed illegal or unfair under antitrust laws.

Predatory Pricing

A strategy where a company sets very low prices with the intention to drive competitors out of the market or to prevent new entries.

Market Competition

The rivalry between businesses to attract customers and achieve higher sales and market share.