优优班--学霸训练营 > 题目详情
  • 已知数列\(\{a_{n}\}\)满足\(a_{1}=1\),\(a_{n+1}=2S_{n}+1\),其中\(S_{n}\)为\(\{a_{n}\}\)的前\(n\)项和,\(n∈N^{*}\).
    \((1)\)求\(a_{n}\);
    \((2)\)若数列\(\{b_{n}\}\)满足\(b_{n}= \dfrac {1}{(1+\log _{3}a_{n})(3+\log _{3}a_{n})}\),\(\{b_{n}\}\)的前\(n\)项和为\(T_{n}\),且对任意的正整数\(n\)都有\(T_{n} < m\),求\(m\)的最小值.
    【考点】数列的递推关系
    【分析】请登陆后查看
    【解答】请登陆后查看
    难度:较易
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