Find the First Five Terms of the Sequence $a _ { n } = \left( 1 + \frac { 2 } { 3 n } \right) ^ { n } \quad$

question 66

Multiple Choice

Find the first five terms of the sequence. Round each term to four decimal places as necessary.
- $a _ { n } = \left( 1 + \frac { 2 } { 3 n } \right) ^ { n } \quad$ Round each term to four decimal places when necessary.

• A) \(1.6667,1.7778,1.8258,1.8526,1.8698\)
• B) \(0.6667,1.3333,1.2222,1.1667,1.1333\)
• C) \(1.6667,1.3333,1.2222,1.1667,1.1333\)
• D) \(0.6667,1.7778,1.8258,1.8526,1.8698\)

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Definitions:

Total Cost

The complete expenditure incurred by a business, combining both fixed and variable costs to produce goods or services.

Variable Cost

Costs that vary directly with the level of production or sales, such as materials and labor.

Rate of Return

The profit or deficit incurred on an investment during a certain period, shown as a percentage of the original investment amount.

Target Cost

The maximum amount that can be spent on a product to ensure a desired profit margin is achieved.