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:

Carbon Dioxide

A colorless, odorless gas with the formula CO2, produced by burning carbon and organic compounds and by respiration.

Organic Material

Matter obtained from living organisms, typically consisting of compounds like carbohydrates, proteins, lipids, and nucleic acids.

Blast Wave

A high-energy shock wave resulting from an explosion, characterized by an abrupt increase in pressure and velocity of the surrounding medium.

Electromagnetic Wave

Waves of the electromagnetic field, propagating through space, carrying electromagnetic radiant energy.