设数列{an}满足a1=a,a2=b,2a(n+2)=a(n+1)+an(Ⅰ)设bn=a(n+1)-an,证明:若a≠b,则{bn}是等比数列;(Ⅱ)若 limn→∞(a1+a2+…+an)=4,求a,b的值.就是想问第二问
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![设数列{an}满足a1=a,a2=b,2a(n+2)=a(n+1)+an(Ⅰ)设bn=a(n+1)-an,证明:若a≠b,则{bn}是等比数列;(Ⅱ)若 limn→∞(a1+a2+…+an)=4,求a,b的值.就是想问第二问](/uploads/image/z/10772741-29-1.jpg?t=%E8%AE%BE%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3Da%2Ca2%3Db%2C2a%28n%2B2%29%3Da%28n%2B1%29%2Ban%28%E2%85%A0%29%E8%AE%BEbn%3Da%28n%2B1%29-an%2C%E8%AF%81%E6%98%8E%EF%BC%9A%E8%8B%A5a%E2%89%A0b%2C%E5%88%99%7Bbn%7D%E6%98%AF%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%EF%BC%9B%28%E2%85%A1%29%E8%8B%A5+limn%E2%86%92%E2%88%9E%28a1%2Ba2%2B%E2%80%A6%2Ban%29%3D4%2C%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC%EF%BC%8E%E5%B0%B1%E6%98%AF%E6%83%B3%E9%97%AE%E7%AC%AC%E4%BA%8C%E9%97%AE)
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