(-1×1/2)+(-1/2×1/3)+(1/3×1/4)+…+(-1/2011×1/2012)+(-1/2012×1/
来源:学生作业帮 编辑:灵鹊做题网作业帮 分类:数学作业 时间:2024/05/25 09:39:28
(-1×1/2)+(-1/2×1/3)+(1/3×1/4)+…+(-1/2011×1/2012)+(-1/2012×1/2013)=?
(-1×1/2)+(-1/2×1/3)+(1/3×1/4)+…+(-1/2011×1/2012)+(-1/2012×1/2013)
=(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+(1/6-1/5)+.+(1/2013-1/2012)
=-1+1/2+1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+.1/2013-1/2012(消除正负对应的数)
=-1+1/2013
=-2012/2013
=(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+(1/6-1/5)+.+(1/2013-1/2012)
=-1+1/2+1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+.1/2013-1/2012(消除正负对应的数)
=-1+1/2013
=-2012/2013
(-1×1/2)+(-1/2×1/3)+(1/3×1/4)+…+(-1/2011×1/2012)+(-1/2012×1/
1/1×2+1/2×3+1/3×4+…+1/2010×2011+1/2012×2013
1/(1-1/2)/(1-1/3)/(1-1/4)/……/(1-1/2012)
(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2011*1/2012)
(-1*2/1)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2012*1/2013)
计算:(1/2-1)(1/3-1)(1/4-1)...(1/2010-1)(1/2011-1)(1/2012-1)
(1/2012-1)(1/2011-1)(1/2010-1)...(1/3-1)(1/2-1)咋算
(2013/1-1)(2012/1-1)(2011/1-1).(3/1-1)(2/1-1)
(1\2012-1)(1\2011-1)(1\2010-1)...(1\3-1)(1\2-1)=?
|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2012-1/2011|+|1/2013-1/20
2013×(1/1×2+1/2×3+1/3×4+……1/+2011×2012+2012×2013)怎么算?
计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+……+|1/2012-1/2011|=