数列an+1=an2+an(n+1为脚标),a1=1,求证1/(a1+1)+1/(a2+1)+1/(a3+1)+...+1(an+1)
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![数列an+1=an2+an(n+1为脚标),a1=1,求证1/(a1+1)+1/(a2+1)+1/(a3+1)+...+1(an+1)](/uploads/image/z/6803874-18-4.jpg?t=%E6%95%B0%E5%88%97an%2B1%3Dan2%2Ban%EF%BC%88n%2B1%E4%B8%BA%E8%84%9A%E6%A0%87%EF%BC%89%2Ca1%3D1%2C%E6%B1%82%E8%AF%811%2F%28a1%2B1%29%2B1%2F%28a2%2B1%29%2B1%2F%28a3%2B1%29%2B...%2B1%28an%2B1%29)
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