
已知等差数列{an}前n项和Sn=-2n2-N,求通项an的表达式
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Sn=-2n2-N
则Sn-1=-2(n-1)²-(n-1)
an=Sn-Sn-1
=-2n2-N - [-2(n-1)²-(n-1)]
=-2n2-n+2n2-4n+2+n-1
=-4n+1
则Sn-1=-2(n-1)²-(n-1)
an=Sn-Sn-1
=-2n2-N - [-2(n-1)²-(n-1)]
=-2n2-n+2n2-4n+2+n-1
=-4n+1
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