an满足a1=1 a2=2/3 且2an-1an+1=an(an-1+an+1) 求an的通向公式已知f(x)=2x/(x^2+1) x1=1/2 xn+1=f(x) 求证(x1-x2)^2/x1x2 +(x2-x3)^2/x2x3 +……+(xn-xn+1)^2/xnxn+1
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![an满足a1=1 a2=2/3 且2an-1an+1=an(an-1+an+1) 求an的通向公式已知f(x)=2x/(x^2+1) x1=1/2 xn+1=f(x) 求证(x1-x2)^2/x1x2 +(x2-x3)^2/x2x3 +……+(xn-xn+1)^2/xnxn+1](/uploads/image/z/766514-2-4.jpg?t=an%E6%BB%A1%E8%B6%B3a1%3D1+a2%3D2%2F3+%E4%B8%942an-1an%2B1%3Dan%28an-1%2Ban%2B1%29+%E6%B1%82an%E7%9A%84%E9%80%9A%E5%90%91%E5%85%AC%E5%BC%8F%E5%B7%B2%E7%9F%A5f%28x%29%3D2x%2F%28x%5E2%2B1%29+x1%3D1%2F2+xn%2B1%3Df%28x%29+%E6%B1%82%E8%AF%81%28x1-x2%29%5E2%2Fx1x2+%2B%28x2-x3%29%5E2%2Fx2x3+%2B%E2%80%A6%E2%80%A6%2B%EF%BC%88xn-xn%2B1%29%5E2%2Fxnxn%2B1)
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