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:选择题 题类:其他 难易度:中档

    已知数列\(\{a_{n}\}\):\( \dfrac{1}{2}\),\( \dfrac{1}{3}+ \dfrac{2}{3}\),\( \dfrac{1}{4}+ \dfrac{2}{4}+ \dfrac{3}{4}\),\( \dfrac{1}{5}+ \dfrac{2}{5}+ \dfrac{3}{5}+ \dfrac{4}{5}\),\(…\),那么数列\(\{b_{n}\}=\left\{ \left. \dfrac{1}{a_{n}a_{n+1}} \right. \right\}\)前\(n\)项的和为\((\)  \()\)


    A. \(4\left( \left. 1- \dfrac{1}{n+1} \right. \right)\) B. \(4\left( \left. \dfrac{1}{2}- \dfrac{1}{n+1} \right. \right)\)

    C. \(1- \dfrac{1}{n+1}\) D. \( \dfrac{1}{2}- \dfrac{1}{n+1}\)
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