职教组卷基于海量职教高考试题库建立的在线组卷及学习系统
职教组卷
  • 题型:解答题 题类:期中考试 难易度:中档

    已知\(\{a _{n} \}\)为等差数列,\(\{b _{n} \}\)为等比数列且公比大于\(0\),\(a _{1} =1\),\(b _{1} =2\),\(2a _{3} =5(a _{5} -a _{4} )\),\(2b _{3} =b _{5} -b _{4}\).
    \((\)Ⅰ\()\)求\(\{a _{n} \}\)和\(\{b _{n} \}\)的通项公式;
    \((\)Ⅱ\()\)设\(c_{n}=(-1)^{n+1}( \dfrac {4n}{a_{n}\cdot a_{n+1}}- \dfrac {1}{b_{n}})(n∈N^{*})\),记数列\(\{c _{n} \}\)的前\(n\)项和为\(S _{n}\),求\(S _{n}\).
  • 相关试卷