The Sequence Is Defined Recursively $a _ { 1 } = \sqrt { 6 } ; a _ { n } = \sqrt { 6 a _ { n - 1 } }$

question 43

Multiple Choice

The sequence is defined recursively. Write the first four terms.
- $a _ { 1 } = \sqrt { 6 } ; a _ { n } = \sqrt { 6 a _ { n - 1 } }$

• A) \(\sqrt { 6 } , \sqrt { 6 \sqrt { 6 } } , \sqrt { 6 \sqrt { 6 \sqrt { 6 } } } , \sqrt { 6 \sqrt { 6 \sqrt { 6 \sqrt { 6 } } } }\)
• B) \(\sqrt { 6 } , 6 \sqrt { 6 } , 36 \sqrt { 6 } , 216 \sqrt { 6 }\)
• C) \(\sqrt { 6 } , 6,6 \sqrt { 6 } , 36\)
• D) \(\sqrt { 6 } , \sqrt { \sqrt { 6 } } , \sqrt { \sqrt { \sqrt { 6 } } } , \sqrt { \sqrt { \sqrt { \sqrt { 6 } } } }\)

Understand the various problem-solving approaches (systematic, intuitive, etc.) and their characteristics.

Distinguish between different types of thinkers (systematic thinkers, problem seekers, intuitive thinkers, etc.) and their problem-solving strategies.

Identify and categorize problems as structured, unstructured, or requiring strategic opportunism.

Recognize the importance of proactive problem identification and resolution for effective management.

---

Definitions:

Opportunity Costs

The cost of forgoing the next best alternative when making a decision or choice.

Specialization

Focus on a particular area of study or work, leading to increased efficiency and expertise in that domain.

Higher Total Output

Indicates an increased overall level of production or sum of goods and services produced within an economy.

Resource Endowments

The natural, human, and capital resources that a country or region possesses, determining its economic potential and development opportunities.