计算 1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1

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计算 1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)

1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)
=1/2x(1-1/3+1/3-1/5+...+1/99-1/101)
=1/2x(1-1/101)
=1/2x100/101
=50/101

计算：1/1x3+1/3x5+1/5x7+1/7x9+……+1/2011x2013 1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=? 2/1x3+2/3X5+2/5x7=2/7x9+2/9x11 已知1-1/3=2/1x3,计算1/1x3+1/3x5+1/5x7+1/7x9+1/9x11= 2/1x3 + 2/3x5 + 2/5x7 +······+ 2/97x99 + 2/99x101 简便计算 1X3分之一+3X5分之一+5X7分之一+7X9分之一加到2009X2011分之一怎么算, 计算：1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7+1/7x8+1/8x9+1/9x10. 1+2X3+4X5+6X7+8X9=303 2x2/1x3+4x4/3x5+6x6/5x7+8x8/7x9+10x10/9x11+12x12/11x13 仔细看看计算：1/1x3+1/3x5+1/5x7+...1/2009x2011+1/2011×2013 1/1x3+1/3x5+1/5x7+.+1/1997x1999 简便计算. 计算1/1X3+1/3x5十1/5X7+.+1/2009x2011