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) $0.6667,1.7778,1.8258,1.8526,1.8698$

Question

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To find the first five terms of the sequence $a_n = \left( 1 + \frac{2}{3n} \right)^n$, we substitute $n = 1, 2, 3, 4, 5$ into the formula and calculate each term, rounding to four decimal places as necessary. The calculations yield the terms $1.6667, 1.7778, 1.8258, 1.8526, 1.8698$, which match option A.

Find the First Five Terms of the Sequence an=(1+23n)na _ { n } = \left( 1 + \frac { 2 } { 3 n } \right) ^ { n } \quadan​=(1+3n2​)n

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