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Determine whether the series [infinity] n - 1 3n - 1 n = 1 is convergent or divergent.

User Omer Maki
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1 Answer

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Final answer:

To determine the convergence or divergence of the series with general term (n - 1)/3^(n - 1), one can apply the Ratio Test or the Comparison Test. However, due to possible typos in the original question, an exact answer is not provided.

Step-by-step explanation:

The student has asked to determine whether the series given by the general term n - 1/3n - 1 from n = 1 to infinity is convergent or divergent. To assess the convergence of the series, we must analyze its terms. First, simplifying the term of the series, we have (n - 1)/3^(n - 1), which we can compare to a known convergent series such as 1/3^n. By applying the Ratio Test or the Comparison Test, one can determine the behavior of the series. If the test indicates that the series terms become sufficiently small as n increases, the series is convergent; otherwise, it is divergent. However, without the clear context or correct notation, providing an exact answer is challenging. Nonetheless, using the mentioned tests provides a path forward in evaluating the series.

User SomeStudent
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