1/1x3 + 1/3x5 + 1/5x7+.+.+1/99x101
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/01 11:06:32
1/1x3 + 1/3x5 + 1/5x7+.+.+1/99x101
简便算法,
简便算法,
![1/1x3 + 1/3x5 + 1/5x7+.+.+1/99x101](/uploads/image/z/17980292-20-2.jpg?t=1%2F1x3+%2B+1%2F3x5+%2B+1%2F5x7%2B.%2B.%2B1%2F99x101)
1/1x3 =1/2(1-1/3)
1/3x5=1/2(1/3-1/5)
.
1/99x101=1/2(1/99-1/101)
所以
原式=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
1/3x5=1/2(1/3-1/5)
.
1/99x101=1/2(1/99-1/101)
所以
原式=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.