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

question 87

Multiple Choice

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

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

Grasp the concepts and calculations related to production capacity, finished goods, and material requirements planning.

Analyze the flow of cash through the preparation of a cash budget.

Understand the financial impact of credit sales and cash collections on budgeting.

Calculate budgeted sales and understand their influence on other budget components.

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Definitions:

Anonymous Surveys

Surveys designed to collect data without revealing the identities of the respondents, enhancing the honesty and accuracy of responses.

Behavioral Economics

An area within economics that examines how psychological, cognitive, emotional, cultural, and social aspects influence the economic choices made by individuals and institutions.

System 1

A term from psychology, referring to the fast, automatic, and often subconscious way of thinking, as opposed to the slower, more deliberate thought processes of System 2.

System 2

A term often used in behavioral economics, referring to slow, deliberative, and analytical thinking, contrasted with fast, instinctive, and emotional 'System 1' thinking.