已知数列bn,满足b1=1,b2=5,bn+1=5bn-6bn-1(n≥2),若数列an满足a1=1,an=bn(1/b1+1/b2+...+1/bn-1)(n≥2,n属于正整数)(1)求证:数列bn+1-2bn为等比数列,并求数列bn的通项公式.(2)求证:(1+(/a1))(1+(1/a2))...(1+(
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![已知数列bn,满足b1=1,b2=5,bn+1=5bn-6bn-1(n≥2),若数列an满足a1=1,an=bn(1/b1+1/b2+...+1/bn-1)(n≥2,n属于正整数)(1)求证:数列bn+1-2bn为等比数列,并求数列bn的通项公式.(2)求证:(1+(/a1))(1+(1/a2))...(1+(](/uploads/image/z/5555272-40-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97bn%2C%E6%BB%A1%E8%B6%B3b1%3D1%2Cb2%3D5%2Cbn%2B1%3D5bn-6bn-1%28n%E2%89%A52%EF%BC%89%2C%E8%8B%A5%E6%95%B0%E5%88%97an%E6%BB%A1%E8%B6%B3a1%3D1%2Can%3Dbn%281%2Fb1%2B1%2Fb2%2B...%2B1%2Fbn-1%29%28n%E2%89%A52%2Cn%E5%B1%9E%E4%BA%8E%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E6%95%B0%E5%88%97bn%2B1-2bn%E4%B8%BA%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%2C%E5%B9%B6%E6%B1%82%E6%95%B0%E5%88%97bn%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F.%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%EF%BC%881%2B%28%2Fa1%29%29%281%2B%281%2Fa2%29%29...%281%2B%28)
已知数列bn,满足b1=1,b2=5,bn+1=5bn-6bn-1(n≥2),若数列an满足a1=1,an=bn(1/b1+1/b2+...+1/bn-1)(n≥2,n属于正整数)(1)求证:数列bn+1-2bn为等比数列,并求数列bn的通项公式.(2)求证:(1+(/a1))(1+(1/a2))...(1+(
已知数列bn,满足b1=1,b2=5,bn+1=5bn-6bn-1(n≥2),若数列an满足a1=1,an=bn(1/b1+1/b2+...+1/bn-1)(n≥2,n属于正整数)
(1)求证:数列bn+1-2bn为等比数列,并求数列bn的通项公式.
(2)求证:(1+(/a1))(1+(1/a2))...(1+(1/an))<3
第二问证不到!
已知数列bn,满足b1=1,b2=5,bn+1=5bn-6bn-1(n≥2),若数列an满足a1=1,an=bn(1/b1+1/b2+...+1/bn-1)(n≥2,n属于正整数)(1)求证:数列bn+1-2bn为等比数列,并求数列bn的通项公式.(2)求证:(1+(/a1))(1+(1/a2))...(1+(
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