单选题
The pages of a report are numbered consecutively from 1 to 10. If the sum of the page numbers up to and including page number z of the report is equal to one more than the sum of the page numbers following page number x, then x=
A、
4
B、
5
C、
6
D、
7
E、
8
【正确答案】
D
【答案解析】
[解析] 设前x页的和为m,则x页之后的几页的和等于m-1,根据题意可得:
2m-1=1+2+3+…+10=55
→m=28
由此考生可推出x=7。
考生也可用等差数列前n项的求和公式
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