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题型：解答题 题类：历年真题 难易度：中档
已知\(\{{a}_{n}\} \)是公差为\(3\)的等差数列，数列\(\{{b}_{n}\} \)满足\({b}_{1}=1,{b}_{2}= \dfrac{1}{3},{a}_{n}{b}_{n+1}+{b}_{n=1}=n{b}_{n} \)．
\((1)\)求\(\{{a}_{n}\} \)的通项公式； \((2)\)求\(\{{b}_{n}\} \)的前\(n\)项和．
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