Determine If the Series $\sum _ { n = 1 } ^ { \infty } \frac { 2 \cdot 5 \cdot 8 \cdot \ldots \cdot ( 3 n - 1 ) } { 6 ^ { n } n ! }$

question 288

Essay

Determine if the series $\sum _ { n = 1 } ^ { \infty } \frac { 2 \cdot 5 \cdot 8 \cdot \ldots \cdot ( 3 n - 1 ) } { 6 ^ { n } n ! }$ converges or diverges by the Ratio Test or Root Test.

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