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:单元测试 难易度:较易

    数列\(\left\{a_{n}\right\}\)中,\(a_{1}=2\),且\(a_{n}+a_{n-1}=\dfrac{n}{a_{n}-a_{n}{}_{-}{}_{1}}+2(n\geqslant 2)\),则数列\(\left\{\dfrac{1}{(a_{n}-1)^{2}}\right\}\)前\(2021\)项和为\((\quad)\)

    A. \(\dfrac{2021}{1010}\) B. \(\dfrac{2021}{1011}\) C. \(\dfrac{2019}{1010}\) D. \(\dfrac{4040}{2021}\)
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