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职教组卷
  • 题型:解答题 题类:期末考试 难易度:较易

    已知数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\),且\(\{\dfrac{S_{n}}{n}\}\)是等差数列,\(a_{1}=2\),\(a_{2}=4.\)
    \((1)\)求数列\(\{a_{n}\}\)的通项公式;
    \((2)\)若数列\(\{b_{n}\}\)满足\(b_{n}=\dfrac{1}{(a_{n}-1)(2n+1)}\),求数列\(\{b_{n}\}\)的前\(n\)项和\(T_{n}.\)
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