问题 填空题
设等差数列{an}的前n项和为Sn,已知a1=-2011,
S2009
2009
-
S2007
2007
=2
,则S2011=______.
答案

S2009
2009
-
S2007
2007
=2可得  
a1a2009
2
-
a1+a2007
2
=2,∴公差d=2.

则S2011 =2011×a1+

2011(2011-1)
2
×d=-2011,

故答案为:-2011.

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