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Determine If the Series n=1(3n14n+1)n\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 n - 1 } { 4 n + 1 } \right) ^ { n }

Question 160

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Determine if the series n=1(3n14n+1)n\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 n - 1 } { 4 n + 1 } \right) ^ { n } converges or diverges by the Ratio Test or Root Test.

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