1/1x2=1-1/2 1/2x3=1/2-1/3 若1/1x3+1/3x5+1/5x7+...+1/(2n-1)(2n
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/23 11:30:29
1/1x2=1-1/2 1/2x3=1/2-1/3 若1/1x3+1/3x5+1/5x7+...+1/(2n-1)(2n+1)的值为17/35,求n的值!
裂项求和
1/1x3+1/3x5+1/5x7+...+1/(2n-1)(2n+1)=17/35
1/2*[1-1/3+1/3-1/5+1/5-1/7+...+1/(2n-1)-1/(2n+1)]=17/35
1/2*[1-1/(2n+1)]=17/35
1/2*2n/(2n+1)=17/35
n/(2n+1)=17/35
17(2n+1)=35n
34n+17=35n
n=17
1/1x3+1/3x5+1/5x7+...+1/(2n-1)(2n+1)=17/35
1/2*[1-1/3+1/3-1/5+1/5-1/7+...+1/(2n-1)-1/(2n+1)]=17/35
1/2*[1-1/(2n+1)]=17/35
1/2*2n/(2n+1)=17/35
n/(2n+1)=17/35
17(2n+1)=35n
34n+17=35n
n=17
用数学归纳法证明1/(1x3)+1/(3x5)+1/(5x7)…1/(2n-1)(2n+1)=n/(2n+1)
解方程组X2+X3+X4=1 X1+X2+X3=5 X3+X4+X5=-5 X4+X5+X1=-3 X5+X1+X2=2
(2X2)/1X3+(4X4)/(3X5)+(6X6)/(5X7)+...+(20X20)/(19X21)==?
一道简便计算数学题1X2+2X3+3X4+4X5...+n(n+1)一1X2+2X3+3X4+4X5...+2013X2
2/1x3+2/3X5+2/5x7=2/7x9+2/9x11
C语言编程s(x)=x-x3/3!+x5/5!-x7/7!+……+(-1)n-1·x2n-1/(2n-1)!
数列的前N项求和数列:1/(1X3),1/(3X5),1/(5X7),……,1/[(2n-1)(2n+1)]呃,这种类型
1x2/1+2x3/1+3x4/1+4x5/1+5x6/1+6x7/1
1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7
求齐次线性方程组x1+2x2+x3+x4+x5=1 2x1+4x2+3x3+x4+x5=2 -x1-2x2+x3+3x4
sin(x)=x-x3/3!+x5/5!-x7/7!+……+(-1)nx2n+1/(2n+1)!+…… 编程并计算sin
x8+x7+x6+x5+x4+x3+x2+x+1因式分解