(1/2+1/4+1/6+1/8)-(1/3+1/6+1/9+1/12)+(1/4+1/8+1/12+1/16)-(1/5+1/10+1/15+1/20)=

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/05 02:15:36

(1/2+1/4+1/6+1/8)-(1/3+1/6+1/9+1/12)+(1/4+1/8+1/12+1/16)-(1/5+1/10+1/15+1/20)=
(1/2+1/4+1/6+1/8)-(1/3+1/6+1/9+1/12)+(1/4+1/8+1/12+1/16)-(1/5+1/10+1/15+1/20)=

(1/2+1/4+1/6+1/8)-(1/3+1/6+1/9+1/12)+(1/4+1/8+1/12+1/16)-(1/5+1/10+1/15+1/20)=
楼主您好：
（1/2+1/4+1/6+1/8）-（1/3+1/6+1/9+1/12）+（1/4+1/8+1/12+1/16）-（1/5+1/10+1/15+1/20）
=1/2(1+1/2+1/3+1/4)-1/3(1+1/2+1/3+1/4)+1/4(1+1/2+1/3+1/4)-1/5(1+1/2+1/3+1/4)
=(1+1/2+1/3+1/4)(1/2-1/3+1/4-1/5)
=(12+6+4+3)/12*(30-20+15-12)/60
=25/12*13/60
=65/144
祝楼主学习进步

1/2+1/4+1/6+1/8+.1/n |1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/2008-1/2006| ((1/2)-1)*((1/3)-1)*((1/4)-1)*((1/5)-1)*((1/6)-1)*((1/7)-1)*((1/8)-1)*((1/9)-1)*((1/10)-1) 1+1+1+1+1+1+1+1+1+2+5+4+8+3+6+2+1+4等于多少? 2/1+4/1+4/1+6/1+8/1+16/1+32/1=? 9*(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*(1-1/6)*(1-1/7)*(1-1/8)*(1-1/9)怎样简便计算 1/2*4+1/4*6+1/6*8+1/8*10+---+1/198*200 4,2,1,1/2,1/4,（ ) ( ) ( )1/8,1/32,1/4 ,1/16( )( ) ( )1/2,1/6,1/12,1/20,1/30,1/42 ( ) ( ) ( ) 2/1 3/1 4/1 5/1 6/1 8/1 10/1 12/1 15/1 20/1 1/4-1/2+1/6-1/4+1/8-1/6+...+1/2008-1/2006计算题计算题1/4-1/2+1/6-1/4+1/8-1/6+...+1/2008-1/2006 求证：1+1/2+1/3+1/4+1/8+1/6+1/7+^+1/(2n-1)>n/2 1+1+2+1+2+6+4+5+8等于 计算:|4/1-2/1|+|6/1-4/1|+|8/1-6/1|+.+|2008/1-2006/1| 计算 ｜1/4-1/2｜+｜1/6-1/4｜+｜1/8—1/6｜+.+｜1/2008-1/2006｜ |1/4-1/2|+|1/6-1/4|+|1/8-1/6|+……+|1/2008-1/2006|是多少 （2/1-4/1）+（4/1-6/1）+（6/1-8/1）+.+（48/1-50/1） 计算:|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+…+|1/2008-1/2006|1003/2008 求|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+.+|1/100-1/98|的值