1/1x4+1/4x7+1/7x11+*******1/97x100=?

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/11/08 17:11:20

1/1x4+1/4x7+1/7x11+*******1/97x100=?
*是省略号

1/1x4+1/4x7+1/7x11+*******1/97x100
=(1-1/4)/3+(1/4-1/7)/3+(1/7-1/11)/3+...+(1/97-1/100)/3
=(1/3)*(1-1/4+1/4-1/7+1/7-1/11+...+1/97-1/100)
=(1/3)*(1-1/100)
=(1/3)*(99/100)
=33/100

100x( 3/1x4 + 3/4x7 +3/7x10 +.3/97x100)=?注：1x4、4x7、7x10等均为分母 1/1x4+1/4x7+1/7x10+……+1/97x100 小学分数题：1/1x4+1/4x7+1/7x10+.+1/97x100 数学趣味知识园开幕H1.1X4/1+4X7/1+7X10/1+10X13/1+.+97X100/1 2.1X2X3/1+ 2x2/1x3+4x4/3x5+6x6/5x7+8x8/7x9+10x10/9x11+12x12/11x13 仔细看看因式分解:X15+X14+X13+X12+X11+X10+X9+X8+X7+X6+X5+X4+X3+X2+X+1 1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=? 2/1x3+2/3X5+2/5x7=2/7x9+2/9x11 1/1X4+1/4X7+1/7X10+...+1/100X103= 1/1X4+1/4X7+1/7X10+.+1/2002X2005=? 1X4/1+4X7/1+7X10/1+…+2005X2008/1=? 1X2+2X4+3X6+.50X100