Find the Sum of the Series $\frac { 2 } { 1.3 } - \frac { 2 ^ { 2 } } { 2.3 ^ { 2 } } + \frac { 2 ^ { 3 } } { 3.3 ^ { 3 } } - \frac { 2 ^ { 4 } } { 4.3 ^ { 4 } } + \ldots$

question 136

Multiple Choice

Find the sum of the series. $\frac { 2 } { 1.3 } - \frac { 2 ^ { 2 } } { 2.3 ^ { 2 } } + \frac { 2 ^ { 3 } } { 3.3 ^ { 3 } } - \frac { 2 ^ { 4 } } { 4.3 ^ { 4 } } + \ldots$

• A) \(\ln \left( \frac { 1 } { 3 } \right)\)
• B) \(\ln \left( \frac { 4 } { 3 } \right)\)
• C) \(\ln \left( \frac { 5 } { 3 } \right)\)
• D) \(\frac { 5 e } { 3 }\)
• E) \(e ^ { 5 / 3 }\)

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Definitions:

Four Perspectives

Refers to a framework often used in business and management to evaluate an organization from multiple angles, commonly including financial, customer, internal processes, and learning and growth aspects.

Effectiveness

The degree to which an organization, such as a nonprofit, achieves its stated objectives and goals efficiently.

Efficiency

The ability to accomplish a task or goal with the minimum expenditure of time and resources; often related to optimizing processes and productivity.

Social Constructionist Approach

A theory in sociology and philosophy suggesting that social phenomena are created, institutionalized, and made into tradition by individuals within a society.