1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101
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1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101
![1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101](/uploads/image/z/17980291-19-1.jpg?t=1%2F1X3+%2B+1%2F3X5+%2B+1%2F5X7+%2B+.%2B+1%2F99X101)
1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101
=(1/2)[(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(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)
=(1/2)(100/101)
=50/101
1/1x3+1/3x5+1/5x7+……+1/99x101
经典奥数题11/1x3+1/3x5+1/5x7.1/99x101解题思路请写清楚
2/1x3 + 2/3x5 + 2/5x7 +······+ 2/97x99 + 2/99x101 简便计算
1x1-2x2+3x3-4x4+5x5-6x6.-100x100+101x101
1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=
1/1x3+1/3x5+1/5x7.1/2009x2010+1/2011x2013
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
计算:1/1x3+1/3x5+1/5x7+...1/2009x2011+1/2011×2013
1/1x3+1/3x5+1/5x7+…+1/2011x2013是多少?
1/(1x3)+1/(3x5)+1/(5x7)+.+1/(2011x2013) 等于什么
1/1x3+1/3x5+1/5x7+.+1/2009x2011=
1/1x3+1/3x5+1/5x7+.+1/1997x1999 简便计算.