首页 > 留学知识库

问题: 等差数列

在等差数列{an}中,a10<0, a11>0,且 a11 >|a10|,则在sn中最大的负数为( ) A.s17 B. s18 C. s19 D. s20

解答:

数列为递增,且从第11项开始往后都为正
S20 = 20(a1+a20)/2 = 10(a1+a20) = 10(a10+a11) > 0
S19 = 19(a1+a19)/2 = 19(2a10)/2 = 19a10 < 0
S18 = S19-a19 < S19
S17 = S18-a18 < S18

所以选C