优优班--学霸训练营 > 题目详情
  • 已知数列\(\{a_{n}\}\)首项\(a_{1}= \dfrac {1}{3}\),且满足\(a_{n+1}= \dfrac {1}{3}a_{n}\),设\(b_{n}+2=4\log _{ \frac {1}{3}}a_{n}(n∈N^{*})\),数列\(\{c_{n}\}\)满足\(c_{n}=a_{n}⋅b_{n}\).
    \((\)Ⅰ\()\)求数列\(\{b_{n}\}\)的通项公式;
    \((\)Ⅱ\()\)求数列\(\{c_{n}\}\)的前\(n\)项和\(S_{n}\).
    【考点】数列的求和,数列的通项公式,数列的递推关系,数列的函数特征
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    【解答】请登陆后查看
    难度:较易
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