问题
填空题
等差数列{an}中,Sn是其前n项和,a1=-2008,
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答案
∵在等差数列中S2n-1=(2n-1)an,
∴
=a1004,S2007 2007
=a1003,S2005 2005
又∵
-S2007 2007
=2S2005 2005
∴d=2,又由a1=-2008
∴Sn=a1n+
d=n2-n-2008n,n(n-1) 2
∴S2008=-2008
故答案为:-2008
等差数列{an}中,Sn是其前n项和,a1=-2008,
|
∵在等差数列中S2n-1=(2n-1)an,
∴
=a1004,S2007 2007
=a1003,S2005 2005
又∵
-S2007 2007
=2S2005 2005
∴d=2,又由a1=-2008
∴Sn=a1n+
d=n2-n-2008n,n(n-1) 2
∴S2008=-2008
故答案为:-2008