Find whether the following series are convergent or not
i. ∞Σ n=1 (3n-1)/7^n
Use the Ratio Test
Since 17<1,\dfrac{1}{7}<1,71<1, then the series ∑n=1∞3n−17n\displaystyle\sum_{n=1}^{\infin}\dfrac{3n-1}{7^n}n=1∑∞7n3n−1 is convergent by the Ratio Test.
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