设数列{an}的前n项和为Sn=-n²,数列{bn}满足:b1=2,b(n+1)=3bn-t(n-1),已知a(n+1)+b(n+1)=3(an+bn)对任意n属于自然数集都成立.设数列{an²+anbn}的前n项和为Tn,问是否存在互不相等的正整数m,k,r,
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![设数列{an}的前n项和为Sn=-n²,数列{bn}满足:b1=2,b(n+1)=3bn-t(n-1),已知a(n+1)+b(n+1)=3(an+bn)对任意n属于自然数集都成立.设数列{an²+anbn}的前n项和为Tn,问是否存在互不相等的正整数m,k,r,](/uploads/image/z/7843520-56-0.jpg?t=%E8%AE%BE%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%3D-n%26%23178%3B%2C%E6%95%B0%E5%88%97%EF%BD%9Bbn%EF%BD%9D%E6%BB%A1%E8%B6%B3%EF%BC%9Ab1%3D2%2Cb%28n%2B1%29%3D3bn-t%28n-1%29%2C%E5%B7%B2%E7%9F%A5a%28n%2B1%29%2Bb%28n%2B1%29%3D3%28an%2Bbn%29%E5%AF%B9%E4%BB%BB%E6%84%8Fn%E5%B1%9E%E4%BA%8E%E8%87%AA%E7%84%B6%E6%95%B0%E9%9B%86%E9%83%BD%E6%88%90%E7%AB%8B.%E8%AE%BE%E6%95%B0%E5%88%97%EF%BD%9Ban%26%23178%3B%2Banbn%EF%BD%9D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BATn%2C%E9%97%AE%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E4%BA%92%E4%B8%8D%E7%9B%B8%E7%AD%89%E7%9A%84%E6%AD%A3%E6%95%B4%E6%95%B0m%2Ck%2Cr%2C)
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