数列{bn}满足b1=2,b2=5,b(n+2)=3b(n+1)-2bn.求证数列{b(n+1)-bn}是等比数列并求出{bn}的通项公式数列{bn}满足b1=2,b2=5,b(n+2)=3b(n+1)-2bn.(1)求证数列{b(n+1)-bn}是等比数列(2)求出{bn}的通项公式
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![数列{bn}满足b1=2,b2=5,b(n+2)=3b(n+1)-2bn.求证数列{b(n+1)-bn}是等比数列并求出{bn}的通项公式数列{bn}满足b1=2,b2=5,b(n+2)=3b(n+1)-2bn.(1)求证数列{b(n+1)-bn}是等比数列(2)求出{bn}的通项公式](/uploads/image/z/8812566-54-6.jpg?t=%E6%95%B0%E5%88%97%7Bbn%7D%E6%BB%A1%E8%B6%B3b1%3D2%2Cb2%3D5%2Cb%28n%2B2%29%3D3b%28n%2B1%29-2bn.%E6%B1%82%E8%AF%81%E6%95%B0%E5%88%97%7Bb%28n%2B1%29-bn%7D%E6%98%AF%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%E5%B9%B6%E6%B1%82%E5%87%BA%7Bbn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%E6%95%B0%E5%88%97%7Bbn%7D%E6%BB%A1%E8%B6%B3b1%3D2%2Cb2%3D5%2Cb%28n%2B2%29%3D3b%28n%2B1%29-2bn.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%E6%95%B0%E5%88%97%7Bb%28n%2B1%29-bn%7D%E6%98%AF%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%EF%BC%882%EF%BC%89%E6%B1%82%E5%87%BA%7Bbn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F)
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