• 已知数列{an}满足a1=0,an+1=an+1+2√an+1(n∈N*),则a99=( )试题及答案-单选题-云返教育

    • 试题详情

      已知数列{an}满足a1=0,an+1=an+1+2
      an+1
      (n∈N*),则a99=(  )

      试题解答


      D
      解:两边同加1得an+1+1 =an+1+2
      an+1
      +1
      an+1+1
      =
      an+1
      +1
      ∴数列{
      an+1
      }是以1为首项,1为公差的等差数列
      an+1
      =n
      ∴a
      n=n2-1
      当n=99时,a
      99=9800
      故选D.
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