问题标题:
设等差数列{an}的前n项和为Sn,且满足S2015>0,S2016<0,对任意正整数n,都有|an|>|ak|,则的值为()A.1007B.1008C.1009D.1010
问题描述:

设等差数列{an}的前n项和为Sn,且满足S2015>0,S2016<0,对任意正整数n,都有|an|>|ak|,则的值为()

A.1007

B.1008

C.1009

D.1010

胡乃文回答:
  由等差数列的求和公式和性质可得S2016=2016(a1+a2016)2=1008(a1008+a1009)<0,∴a1008+a1009<0同理由S2015>0可得2015a1008>0,可得a1008>0,∴a1008>0,a1009<0,d<0,对任意正整...
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