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问题: 数学11

要有步骤

解答:

(1)a3=12
S12 = (a1+a12)+(a2+a11)+(a3+a10)+...+(a6+a7) = 6(a3+a10)
  = 6(a3+a3+7d) = 6(24+7d) >0----->d>-24/7
S13 = (a1+a13)+(a2+a12)+(a3+a11)+...+a7 = (13/2)(a3+a11)
  = (13/2)(a3+a3+8d) = 6(24+8d) <0----->d<-3
--->-24/7<d<-3

(2)S12=6(a6+a7)>0
S13=13a7<0--->a6>0,a7<0--->S6最大