1/2+1/2×1+1/3×1+1/4×3+.+1/2013×2012
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/19 21:44:41
1/2+1/2×1+1/3×1+1/4×3+.+1/2013×2012
1/2+1/2*1+1/3*2+1/4*3+、、、、、、、、、、、+1/2013*2012
=1/2+(1-1/2)+(1/2-1/3)+(1/3-1/4)+、、、、、、+(1/2011-1/2012)+(1/2012-1/2013)
=1/2+1-1/2+1/2-1/3+1/3-1/4+、、、、、、、+1/2011-1/2012+1/2012-1/2013
=1/2+1-1/2013=6027/4026
=1/2+(1-1/2)+(1/2-1/3)+(1/3-1/4)+、、、、、、+(1/2011-1/2012)+(1/2012-1/2013)
=1/2+1-1/2+1/2-1/3+1/3-1/4+、、、、、、、+1/2011-1/2012+1/2012-1/2013
=1/2+1-1/2013=6027/4026
(-1*2/1)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2012*1/2013)
1/2+1/2×1+1/3×1+1/4×3+.+1/2013×2012
|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2012-1/2011|+|1/2013-1/20
1/1×2+1/2×3+1/3×4+…+1/2010×2011+1/2012×2013
(2013/1-1)(2012/1-1)(2011/1-1).(3/1-1)(2/1-1)
计算:1/(1*3)+1/(2*4)+1/(3*5)+...+1/(2011*2013)+1/(2012 *2014)
1/(1*2)+1/(2*3)+1/(3*4)+...+1/(2012*2013)
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2012×1/2013) 求大神指导~
{1+3+...+2013}-{2+4+...+2012}=?
计算:(-1)+2+(-3)+4+...+2012+(-2013),
(1/2+1/3+1/4+1/5+1/6+.+1/2013)*(1+1/2+..+1/2012)-(1+1/2+1/3+
1/1*2+1/2*3+1/3*4.+1/2011*2012+1/2012*2013