Determine Whether the Sequence Defined By $a _ { n } = \left( 1 + \frac { 5 } { n } \right) ^ { 1 / n }$

question 127

Short Answer

Determine whether the sequence defined by $a _ { n } = \left( 1 + \frac { 5 } { n } \right) ^ { 1 / n }$ converges or diverges. If it converges, find its limit.

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Definitions:

Journal Entries

Recordings in accounting journals of the financial transactions made by a business, showing debits and credits for each transaction.

Salary Payroll

The total amount paid by an employer to its employees as salaries over a specified period.

Classified Balance Sheet

A balance sheet that groups assets, liabilities, and equity into subcategories for clearer understanding.

Long-Term Liability

Financial obligations of a business that are due more than one year in the future.