1/1X3+1/3X5+…….+1/99X101

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/09 17:41:47
1/1X3+1/3X5+…….+1/99X101

1/1X3+1/3X5+…….+1/99X101
1/1X3+1/3X5+…….+1/99X101

1/1X3+1/3X5+…….+1/99X101
1/1X3+1/3X5+…….+1/99X101
=1/2(1-1/3)+1/2(1/3-1/5)+…….+1/2(1/99-1/101)
=1/2(1-1/3+1/3-1/5+……+1/99-1/101)
=1/2(1-1/101)
=1/2*100/101
=50/101

=1/2(1-1/3+1/3-1/5+1/5-1/7....1/99-1/101)
=1/2(1-1/101)
=50/101

约分啊
最后为101

1/(1×3)+1/(3×5)+···+1/(99×101)
=(1-(1/3))/2+((1/3)-(1/5))/2+···+((1/99)-(1/101))/2
=(1-(1/3)+(1/3)-(1/5)+···+(1/99)-(1/101))/2
=(1-(1/101))/2
=50/101

=1/2(1-1/3+1/3-1/5+1/5-……-1/99+1/99-1/101)
=1/2(1-1/101)
=50/101

1-2/3+2/3-3/5+.......+50/99-51/101=1-51/101=50/101
答案是50/101

因式分解：x5+x3+1 计算1x3+3x5+5x7+…+97x99 1x5+2x5+3x5+4x5+5x5… 麻烦给我一个公式. 1/1X3+1/3X5+…….+1/99X101 计算1／1x3+1/3x5+1/5x7+…+1/99x101的值 1/1X3 +1/3x5+1/5x7……+1/2013x2015=? 计算1/1x3+1/2x4+1/3x5+……+1/9x11=? 1/1x3+1/3x5+1/5x7+……1/97x99= 1/1X3+1/2X4+1/3X5……+1/9X11=?, 1x3/1+3x5/1+5x7/1+……+17x19/1 1/1x3+1/2x4+1/3x5+……+1/18x20=? 1x2/1+2x3/1+3x4/1+4x5/1+…+39x40/1 1/1x3+1/3x5+1/5x7+…+1/2011x2013是多少? 1/1x3+1/3x5+1/5x7+…+1/2009x2011 急 解一道方程组x1+x2+x3=5,x2+x3+x4=1,x3+x4+x5=-5,x4+x5+x1=-3,x5+x1+x2=2 1X3分之一+3X5分之一+5X7分之一……+49X51分之一 1x3＋2x4＋3x5＋…9x11 x5-x4+x3-x2+x-1因式分解