Write a Formula for the Nth Term of the Geometric $8,4,2,1 , \ldots$

question 201

Multiple Choice

Write a formula for the nth term of the geometric sequence.
- $8,4,2,1 , \ldots$

• A) \(a _ { n } = 8 \left( \frac { 1 } { 2 } \right) ^ { n + 1 }\)
• B) \(a _ { n } = 8 \left( \frac { 1 } { 2 } \right) ^ { n }\)
• C) \(a _ { n } = 8 \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• D) \(a _ { n } = 8 - \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)

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Definitions:

Positive-Sum Game

A situation in which all participants can gain or benefit in some way, contrasting with a zero-sum game.

Zero-Sum Game

A situation in economics or game theory where one party's gain is precisely balanced by another party's loss.

Dominant Strategy

In game theory, a strategy that is best for a player regardless of the strategies chosen by the other players.

Payoff

The return or profit from an investment or action.