计算:1/1*3+1/2*4+1/3*5+…+1/2011*2013+1/2012*2014
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:2024/08/05 17:26:42
计算:1/1*3+1/2*4+1/3*5+…+1/2011*2013+1/2012*2014
![计算:1/1*3+1/2*4+1/3*5+…+1/2011*2013+1/2012*2014](/uploads/image/z/1014764-68-4.jpg?t=%E8%AE%A1%E7%AE%97%3A1%2F1%2A3%2B1%2F2%2A4%2B1%2F3%2A5%2B%E2%80%A6%2B1%2F2011%2A2013%2B1%2F2012%2A2014)
原式=1/2(1-1/3+1/3-1/5+...+/2011-1/2013)+1/2(1/2-1/4+1/4-1/6+...+1/2012-1/2014)
=1/2(1-1/2013)+1/2(1/2-1/2014)
=1/2×2012/2013+1/2×1006/2014
=1006/2013+503/2014
=3038623/4054182
=1/2(1-1/2013)+1/2(1/2-1/2014)
=1/2×2012/2013+1/2×1006/2014
=1006/2013+503/2014
=3038623/4054182
计算:(-1)+2+(-3)+4+...+2012+(-2013),
计算:1+(-2)+3+(-4).+2011+(-2012)+2013+(-2014)
计算1-2+3-4+5-6+...+2011-2012+2013
计算:(-1)+2+(-3)+4+(-5)+……+(2011)+2012
计算1+(-2)+3+(-4)+5…+2013+(-2014)
计算:1+2-3-4+5+6-7-8+……-2011-2012+2013+2014=
(+1)+(-2)+(+3)+(-4)+.+(+2011)+(-2012)+2013简便计算,
计算1+(-2)+3+(-4)+…+2013+(-2014)+2015=
计算1-2+3-4+…+2011-2012=
计算1+(-2)+3+(-4)+…+2011+(-2012)
3/5-(1/2-1/4)计算,
计算2013-2012+2010-2009+...+5-4+3-2+1