QuestionUse the Root Test to determine whether the series convergent or divergent. $$\sum_{n=2}^{\infty}\left(\frac{-3 n}{n+1}\right)^{6 n}$$
Identify $a_{n}$. $$\left(\frac{-3 n}{n+1}\right)^{6 n}$$
Evaluate the following limit. $$\lim _{n \rightarrow \infty} \sqrt[n]{\left|a_{n}\right|}$$ $\square$
Since $$\lim _{n \rightarrow \infty} \sqrt[n]{\left|a_{n}\right|}$$
1, the series is divergent
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