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) \(\sqrt { 6 } , \sqrt { 6 \sqrt { 6 } } , \sqrt { 6 \sqrt { 6 \sqrt { 6 } } } , \sqrt { 6 \sqrt { 6 \sqrt { 6 \sqrt { 6 } } } }\)

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Definitions:

Actuarial Information

Data and analysis related to the calculation of insurance risks and premiums, often involving life expectancy, health risks, and financial implications.

Bond Issue

The process by which a company or governmental entity raises funds by selling bonds to investors, which are debt securities obligating the issuer to pay interest and repay principal at a later date.

Effective Interest Method

An accounting technique used to allocate the bond premium or discount over the life of the bond in a way that results in a constant rate of interest.

Interest Expense

Interest expense is the cost incurred by an entity for borrowed funds, typically reported on the income statement within the financing or other expenses section.