问题 选择题
设Sn为等差数列{an}的前n项的和,a1=-2009,
S2008
2008
-
S2005
2005
=3
,则S2009的值为(  )
A.2008B.2009C.-2008D.-2009
答案

S2008
2008
-
S2005
2005
=3,

得:

2008(a1+a2008)
2
2008
-
2005(a1+a2005)
2
2005
=3,

化简得:a2008-a2005=

3
2
d=3,

解得d=2,

∵a1=-2009,

S2008=2009×(-2009)+

2009×2008
2
×2

=-2009.

故选D.

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