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!

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!
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!

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