优优班--学霸训练营 > 题目详情
  • 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\(T_{n}\)

    【考点】等差数列的性质,数列的求和,等差数列的通项公式
    【分析】请登陆后查看
    【解答】请登陆后查看
    难度:较易
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