已知数列【An】、【Bn】满足:a1=1/4,An+Bn=1,B(n+1)=Bn/((1-An)(1+An))1) B1 B2 B3 B4 2)数列【Bn】的通项公式 3)Sn=A1A2+A2A3+A3A4+...+AnA(n+1),求实数A为何值时4ASn
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![已知数列【An】、【Bn】满足:a1=1/4,An+Bn=1,B(n+1)=Bn/((1-An)(1+An))1) B1 B2 B3 B4 2)数列【Bn】的通项公式 3)Sn=A1A2+A2A3+A3A4+...+AnA(n+1),求实数A为何值时4ASn](/uploads/image/z/14112710-62-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%E3%80%90An%E3%80%91%E3%80%81%E3%80%90Bn%E3%80%91%E6%BB%A1%E8%B6%B3%EF%BC%9Aa1%3D1%2F4%2CAn%2BBn%3D1%2CB%EF%BC%88n%2B1%EF%BC%89%3DBn%2F%28%281-An%29%281%2BAn%29%291%29+B1+B2+B3+B4+2%29%E6%95%B0%E5%88%97%E3%80%90Bn%E3%80%91%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F+3%EF%BC%89Sn%3DA1A2%2BA2A3%2BA3A4%2B...%2BAnA%28n%2B1%29%2C%E6%B1%82%E5%AE%9E%E6%95%B0A%E4%B8%BA%E4%BD%95%E5%80%BC%E6%97%B64ASn)
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