已知数列{x_n}满足:x_1=2,x_(n+1)=2-1/x_n 求{x_n}的通项公式及前n已知数列{x_n}满足:x_1=2,x_(n+1)=2-1/x_n求{x_n}的通项公式及前n项积.(PS:希望能直接推导,而不是"归纳+猜想+证明",可以接受使用
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![已知数列{x_n}满足:x_1=2,x_(n+1)=2-1/x_n 求{x_n}的通项公式及前n已知数列{x_n}满足:x_1=2,x_(n+1)=2-1/x_n求{x_n}的通项公式及前n项积.(PS:希望能直接推导,而不是"归纳+猜想+证明",可以接受使用](/uploads/image/z/1076700-12-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Bx_n%7D%E6%BB%A1%E8%B6%B3%3Ax_1%3D2%2Cx_%28n%2B1%29%3D2-1%2Fx_n+%E6%B1%82%7Bx_n%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%E5%8F%8A%E5%89%8Dn%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Bx_n%7D%E6%BB%A1%E8%B6%B3%3Ax_1%3D2%2Cx_%28n%2B1%29%3D2-1%2Fx_n%E6%B1%82%7Bx_n%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%E5%8F%8A%E5%89%8Dn%E9%A1%B9%E7%A7%AF.%EF%BC%88PS%EF%BC%9A%E5%B8%8C%E6%9C%9B%E8%83%BD%E7%9B%B4%E6%8E%A5%E6%8E%A8%E5%AF%BC%2C%E8%80%8C%E4%B8%8D%E6%98%AF%26quot%3B%E5%BD%92%E7%BA%B3%2B%E7%8C%9C%E6%83%B3%2B%E8%AF%81%E6%98%8E%26quot%3B%2C%E5%8F%AF%E4%BB%A5%E6%8E%A5%E5%8F%97%E4%BD%BF%E7%94%A8)
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