作业帮1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8...1/49*50
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/25 21:36:08
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8...1/49*50
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8...1/49*50
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+……+(1/49-1/50)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+……+1/49-1/50
=1-1/50
=49/50
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+……+(1/49-1/50)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+……+1/49-1/50
=1-1/50
=49/50
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8...1/49*50
1+2+3+4+5+6+7+8.+1000=?
1-2 3-4 5-6 7-8... 2001-2002
1-2+3-4+5-6+7-8...-1990+1991
如果1/2*3=1/2+1/3+1/4,1/3#4=1/3+1/4+1/5+1/6,1/7*2=1/7+1/8.求1/4
1/2+1/2*1/3+1/3*1/4+1/4*1/5+1/5*1/6+1/6*1/7+.1/1999*1/2000得多
1、求|1-1/2|+|1/2-1/3|+|1/3-1/4|+|1/4-1/5|+|1/5-1/6|+|1/6-1/7|
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
(1-1/2^2)(1-1/3^2)(1-1/4^2)(1-1/5^2)(1-1/6^2)(1\1/7^2)(1-1/8
线性代数解行列式1/2 1/3 1/4 1/51/3 1/4 1/5 1/61/4 1/5 1/6 1/7 1/5 1/
1+2+3+4+5+6+7+8.+41+42+43+44+45+46+47+48+49+50=?
（1）1+1/2+1/3+1/4+1/5+1/6+1/7+1/14+1/28