Question
Determine the convergence or divergence of the series.$$\sum_{n=1}^{\infty} \frac{(-1)^{n+1} n}{3 n+2}$$
Step 1
The general term of the series is $a_n = \frac{n}{3n+2}$. Step 2: We apply the Alternating Series Test, which states that an alternating series $\sum_{n=1}^{\infty} (-1)^{n+1} a_n$ converges if the following two conditions are met: Show more…
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