1/4+1/12+1/24+1/40……+1/19800=?

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/08/08 18:57:07

1/4+1/12+1/24+1/40+……+1/19800
=(1/2)*[1/2+1/6+1/12+1/20+...+1/9900]
=(1/2)*[1/1*2+1/2*3+1/3*4+1/4*5+...+1/99*100]
=(1/2)*[1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/99-1/100]
=(1/2)*[1-1/100]
=(1/2)*(99/100)
=99/200
加油!

1/4+1/12+1/24+1/40……+1/19800=? 1/4+1/12+1/24+1/40+……+1/19800=? 4分之1+1/12+1/24+1/40…+1/19800 1/4+1/12+1/24+1/40.+1/19800 4/1+12/1+24/1+40/1+.19800/1 4/1 12/1 24/1 40/1 . 19800/1怎么算?等于多少? 如何巧算1/4+1/12+1/24+1/40+.+1/19800 1+2+3+4……+20+21+23+24……+40的简便算法 1/3+1/6=1/2 1/4+1/12=1/3 1/5+1/20=1/4 …… 1/x+ 1+1=…… 数学分数计算题3/4×（2.5-1/4）+5/12÷0.25原式=………………………………………………………… 200×(1-1/2)×(1-1/3)×(1-1/4)×……×(1-1/100)=?