已知数列\(\{a_{n}\}\)是公差为正数的等差数列,\(a_{2}\)和\(a_{5}\)是方程\(x^{2}-12x+27=0\)的两个实数根,数列\(\{b_{n}\}\)满足\(3^{n-1}b_{n}=na_{n+1}-(n-1)a_{n}\)
\((1)\)求\(\{a_{n}\}\)和\(\{b_{n}\}\)的通项公式;
\((2)\)设\(T_{n}\)为数列\(\{b_{n}\}\)的前\(n\)项和,求\(T_{n}\)
进入组卷