1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值
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![1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值](/uploads/image/z/11456325-45-5.jpg?t=1%2F1X2%3D1-1%2F2+1%2F2%2B3%3D1%2F2-1%2F3+1%2F3%2B4%3D1%2F3-1%2F4+.1%2F1X2%3D1-1%2F2+1%2F2%2B3%3D1%2F2-1%2F3+1%2F3%2B4%3D1%2F3-1%2F4+.%EF%BC%883%EF%BC%89%E8%8B%A51%2F1X3%2B1%2F3X5%2B1%2F5X7%2B.%2B1%2F%EF%BC%882n-1%EF%BC%89%282n%2B1%29%E7%9A%84%E5%80%BC%E4%B8%BA17%2F35%2C%E6%B1%82n%E7%9A%84%E5%80%BC)
1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(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 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .
1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .
(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 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值
1/(1×3)+1/(3×5)+...+1/[(2n-1)(2n+1)]
=(1/2)[1-1/3+1/3-1/5+...+1/(2n-3)-1/(2n-1)+1/(2n-1)-1/(2n+1)]
=(1/2)[1-1/(2n+1)]
=n/(2n+1)=17/35
n=17
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