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(-1x1/2)+(-1/2x1/3)+.+(-1/2011x1/2011)等于多少
题目详情
(-1x1/2)+(-1/2x1/3)+.+(-1/2011x1/2011)等于多少
▼优质解答
答案和解析
(-1x1/2)+(-1/2x1/3)+.+(-1/2010x1/2011)
=-1+1/2-1/2+1/3-1/3+1/4-……-1/2010+1/2011
=-1+1/2011
=-2010/2011
=-1+1/2-1/2+1/3-1/3+1/4-……-1/2010+1/2011
=-1+1/2011
=-2010/2011
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