Find the First Term and the Common Ratio for the Geometric

question 261

Multiple Choice

Find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth.
- $$a _ { 2 } = 18 , a _ { 4 } = 2$$

• A) \(a _ { 1 } = 6 , r = 3\)
• B) \(\mathrm { a } _ { 1 } = 54 , \mathrm { r } = 0.33\)
• C) \(a _ { 1 } = 162 , r = 0.33\)
• D) \(\mathrm { a } _ { 1 } = 2 , \mathrm { r } = 3\)

---

Definitions:

Psychology

The scientific study of the human mind, behavior, and processes associated with how people think, feel, and interact with their environment.

Arrow's Impossibility Theorem

A theory in social choice stating that no rank-order voting system can convert the ranked preferences of individuals into a community-wide complete and transitive ranking without violating one of the criteria necessary for a fair vote.

Median Voter Theorem

A principle in political science proposing that the outcome of a majority vote is most likely to match the preferences of the median voter, assuming voters can be placed along a single-dimensional policy space.

Impossibility

A condition or situation that cannot be achieved or is unattainable.