The Following Is a Geometric Sequence

question 138

Short Answer

The following is a geometric sequence. Find the next number in the sequence.

6, -24, 96, . . .

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Definitions:

Majority Determining

The process by which the greater number or majority's choice decides an outcome in a decision-making context.

Condorcet Paradox

A situation in social choice theory where collective preferences can be cyclical, even if the preferences of individual members are not, leading to a lack of transitivity in voting outcomes.

Transitive Preferences

A consistency in choice such that if an individual prefers option A to B and B to C, then they will also prefer A to C.

Arrow's Impossibility Theorem

A principle in social choice theory stating that no rank-order voting system can be designed that always satisfies a set of fair criteria when there are three or more options.