等差数列{an}的各项均为正数,a1=3,前n项和为Sn,{bn}为等比数列,b1=2,且b2S2=32,b3S3=120(1)求an与bn.(2)求数列{anbn}的前n项和Tn.(3)若(1/S1)+(1/S2)+…(1/Sn)≤x²+ax+1对任意正整数n和任意x
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![等差数列{an}的各项均为正数,a1=3,前n项和为Sn,{bn}为等比数列,b1=2,且b2S2=32,b3S3=120(1)求an与bn.(2)求数列{anbn}的前n项和Tn.(3)若(1/S1)+(1/S2)+…(1/Sn)≤x²+ax+1对任意正整数n和任意x](/uploads/image/z/2981916-36-6.jpg?t=%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E7%9A%84%E5%90%84%E9%A1%B9%E5%9D%87%E4%B8%BA%E6%AD%A3%E6%95%B0%2Ca1%3D3%2C%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%2C%EF%BD%9Bbn%EF%BD%9D%E4%B8%BA%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%2Cb1%3D2%2C%E4%B8%94b2S2%3D32%2Cb3S3%3D120%EF%BC%881%EF%BC%89%E6%B1%82an%E4%B8%8Ebn.%EF%BC%882%EF%BC%89%E6%B1%82%E6%95%B0%E5%88%97%EF%BD%9Banbn%EF%BD%9D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8CTn.%EF%BC%883%EF%BC%89%E8%8B%A5%281%2FS1%29%2B%281%2FS2%29%2B%E2%80%A6%281%2FSn%29%E2%89%A4x%26%23178%3B%2Bax%2B1%E5%AF%B9%E4%BB%BB%E6%84%8F%E6%AD%A3%E6%95%B4%E6%95%B0n%E5%92%8C%E4%BB%BB%E6%84%8Fx)
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