数列An满足:A1=1,A2=2/3,An+2=3/2An+1-1/2An,记dn=An+1-An,求证dn是等比数列(2)求数列An的通项公式(3)令Bn=3n-2,求数列An*Bn的前n项和Sn
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![数列An满足:A1=1,A2=2/3,An+2=3/2An+1-1/2An,记dn=An+1-An,求证dn是等比数列(2)求数列An的通项公式(3)令Bn=3n-2,求数列An*Bn的前n项和Sn](/uploads/image/z/11576928-48-8.jpg?t=%E6%95%B0%E5%88%97An%E6%BB%A1%E8%B6%B3%EF%BC%9AA1%3D1%2CA2%3D2%2F3%2CAn%2B2%3D3%2F2An%2B1-1%2F2An%2C%E8%AE%B0dn%3DAn%2B1-An%2C%E6%B1%82%E8%AF%81dn%E6%98%AF%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%EF%BC%882%EF%BC%89%E6%B1%82%E6%95%B0%E5%88%97An%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%EF%BC%883%EF%BC%89%E4%BB%A4Bn%3D3n-2%2C%E6%B1%82%E6%95%B0%E5%88%97An%2ABn%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8CSn)
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