\( \begin{array}{ll}\text { a. } a_{n}=3 n-2 & \text { b. } a_{n}=\frac{1}{3 n} \\ \text { c. } a_{n}=\frac{1}{n+1} & \text { d. } a_{n}=n^{2}+2 \\ \text { e. } a_{n}=\frac{2}{2 n+1} & \text { f. } a_{n}=\frac{2 n^{2}}{3}\end{array} \)

It looks like you've provided a list of sequences defined by their general terms \( a_n \). If you have a specific question or task related to these sequences, such as finding limits, determining convergence or divergence, or analyzing their behavior, please let me know! Here’s a brief overview of each sequence: a. \( a_n = 3n - 2 \) This is a linear sequence that increases without bound as \( n \) increases. b. \( a_n = \frac{1}{3n} \) This sequence converges to 0 as \( n \) approaches infinity. c. \( a_n = \frac{1}{n+1} \) This sequence also converges to 0 as \( n \) approaches infinity. d. \( a_n = n^2 + 2 \) This is a quadratic sequence that increases without bound as \( n \) increases. e. \( a_n = \frac{2}{2n+1} \) This sequence converges to 0 as \( n \) approaches infinity. f. \( a_n = \frac{2n^2}{3} \) This is a quadratic sequence that increases without bound as \( n \) increases. If you need further analysis or specific calculations, please provide more details!