Use Inductive Reasoning to Predict the Next Equation A) B)

question 27

Multiple Choice

Use inductive reasoning to predict the next equation.
- $\begin{array} { r } \frac { 1 } { 3 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 3 } \right) \\\frac { 1 } { 3 } + \frac { 1 } { 9 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 9 } \right) \\\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 27 } \right) \\\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 81 } \right) \end{array}$

• A) \(\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 } + \frac { 1 } { 243 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 243 } \right)\)
• B) \(\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 } + \frac { 1 } { 729 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 729 } \right)\)
• C) \(\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 } + \frac { 1 } { 162 } = \frac { 1 } { 2 } \left( 1 - \frac { 1 } { 162 } \right)\)
• D) \(\frac { 1 } { 3 } + \frac { 1 } { 9 } + \frac { 1 } { 27 } + \frac { 1 } { 81 } + \frac { 1 } { 243 } = \frac { 1 } { 3 } \left( 1 - \frac { 1 } { 243 } \right)\)

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Definitions:

Economic System

The organized way a society allocates resources, produces goods and services, and distributes wealth among its members.

Wage Differences

The disparities in income received by individuals for their labor, often influenced by factors like occupation, education, experience, and gender.

Functionalist Theory

A theoretical perspective in sociology that views society as a complex system whose parts work together to promote solidarity and stability.

Instrumental Roles

Tasks and responsibilities in a family or group focused on providing resources and meeting the physical needs, traditionally associated with the male gender role.