若n为正整数,观察下列各式:1/1x3=1/2(1-1/3),1/3x5=1/2(1/3-1/5),1/5x7=1/2(
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若n为正整数,观察下列各式:1/1x3=1/2(1-1/3),1/3x5=1/2(1/3-1/5),1/5x7=1/2(1/5-1/7),……计算:
若n为正整数,观察下列各式:1/1x3=1/2(1-1/3),1/3x5=1/2(1/3-1/5),1/5x7=1/2(1/5-1/7),……根据观察计算:1/1x3+1/3x5+1/5x7+……+1/(2n-1)(2n+1).
若n为正整数,观察下列各式:1/1x3=1/2(1-1/3),1/3x5=1/2(1/3-1/5),1/5x7=1/2(1/5-1/7),……根据观察计算:1/1x3+1/3x5+1/5x7+……+1/(2n-1)(2n+1).
![若n为正整数,观察下列各式:1/1x3=1/2(1-1/3),1/3x5=1/2(1/3-1/5),1/5x7=1/2(](/uploads/image/z/7428172-4-2.jpg?t=%E8%8B%A5n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%2C%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%EF%BC%9A1%2F1x3%3D1%2F2%281-1%2F3%29%2C1%2F3x5%3D1%2F2%281%2F3-1%2F5%29%2C1%2F5x7%3D1%2F2%28)
1/1x3+1/3x5+1/5x7+……+1/(2n-1)(2n+1)
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2[(2n-1)-1/(2n+1)]
=1/2[1-1/3+1/3-1/5+1/5-1/7……+1/(2n-1)-1/(2n+1)]
=1/2[1-1/(2n+1)]
=n/(2n+1)
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2[(2n-1)-1/(2n+1)]
=1/2[1-1/3+1/3-1/5+1/5-1/7……+1/(2n-1)-1/(2n+1)]
=1/2[1-1/(2n+1)]
=n/(2n+1)
若n为正整数,观察下列各式:1/1x3=1/2(1-1/3),1/3x5=1/2(1/3-1/5),1/5x7=1/2(
2/1x3+2/3X5+2/5x7=2/7x9+2/9x11
观察下列等式:1x3=2^2-1,3x5=4^2-1,5x7=6^2-1,…,11x13=12^2-1,…用含字母n的式
用数学归纳法证明1/(1x3)+1/(3x5)+1/(5x7)…1/(2n-1)(2n+1)=n/(2n+1)
观察1x3=3,3x5=15,5x7=35,…,你发现了什么规律,请用含n的式子表示出来
C语言编程s(x)=x-x3/3!+x5/5!-x7/7!+……+(-1)n-1·x2n-1/(2n-1)!
1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
1/1x3+1/3x5+1/5x7+.+1/2009x2011=
观察下列各式:1x3=2的平方-1,2x4=3平方-1,3x5=4的平方-1,4x6=5的平方-1,.根据规律写出第n个
2/1X3+2/3X5+2/5x7+.+2/19x21
(2X2)/1X3+(4X4)/(3X5)+(6X6)/(5X7)+...+(20X20)/(19X21)==?