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职教组卷
  • 题型:解答题 题类:月考试卷 难易度:中档

    已知数列\(\{a _{n} \}\)是各项均为正数的等比数列,\(a _{3} = \dfrac {1}{16}\),\(a _{1} -a _{2} = \dfrac {1}{8}\),数列\(\{b _{n} \}\)满足\(b _{1} =-3\),且\(1+b _{n+1}\)与\(1-b _{n}\)的等差中项是\(a _{n}\).
    \((\)Ⅰ\()\)求数列\(\{b _{n} \}\)的通项公式;
    \((\)Ⅱ\()\)若\(c _{n} =(-1) ^{n} b _{n}\),\(\{c _{n} \}\)的前\(n\)项和为\(S _{n}\),求\(S _{2n}\).
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