1/34+1/45+1/56+1/67+.1/99*100=?

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/11 01:14:12

1/3*4+1/4*5+1/5*6+1/6*7+.1/99*100=?

1/3*4=1/12=1/3-1/4
1/4*5=1/4-1-5
……
1/99*100=1/99-1/100
1/3*4+1/4*5+1/5*6+1/6*7+……+1/99*100
=1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7……+1/99-1/100
=1/3-1/100
=97/300

1/3*4+1/4*5+1/5*6+1/6*7+.1/99*100=? 1/3*4+1/4*5+1/5*6+1/6*7+……+1/99*100=?求规律! 1、1/4*5+1/5*6+1/6*7+1/6*8+.+1/99*100 1 +(-2/1)+3+(4/1)+5+(6/1)+7+(8/1)+.+99+(-100/1)=大神们帮帮忙 1+(-2)+3+(-4)+5+(-6)+7+(-8).+99+(-100) 1+2-3+4-5+6-7+.+98-99+100 1+2-3+4-5+6-7+^+98-99+100 1+1+2+3+4+5+6+7+8+9……+99+100= 六年级数学题/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+.+1/(99*100)=? 1+2+3+4+5+6~+99+100+101=? 1+2+3+4+5+6+""""+98+99+100=? (2+4+6+8.+100)-(1+3+5+.+99)=?