已知数列{an}满足a1=1,a2=2,a3=3,a4=4,a5=5,当n≥5时,a(n+1)=a1a2……an-1,若数列{bn}(n∈N*)满足bn=a1a2……an-a1^2-a2^2-……-an^2(1)求证:当n≥5时,bn+1-bn=-1(2)若正整数m满足a1a2…am=a1^2+a2^2+…+am^2,求m
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![已知数列{an}满足a1=1,a2=2,a3=3,a4=4,a5=5,当n≥5时,a(n+1)=a1a2……an-1,若数列{bn}(n∈N*)满足bn=a1a2……an-a1^2-a2^2-……-an^2(1)求证:当n≥5时,bn+1-bn=-1(2)若正整数m满足a1a2…am=a1^2+a2^2+…+am^2,求m](/uploads/image/z/2118081-57-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E6%BB%A1%E8%B6%B3a1%3D1%2Ca2%3D2%2Ca3%3D3%2Ca4%3D4%2Ca5%3D5%2C%E5%BD%93n%E2%89%A55%E6%97%B6%2Ca%28n%2B1%29%3Da1a2%E2%80%A6%E2%80%A6an-1%2C%E8%8B%A5%E6%95%B0%E5%88%97%7Bbn%7D%EF%BC%88n%E2%88%88N%2A%EF%BC%89%E6%BB%A1%E8%B6%B3bn%3Da1a2%E2%80%A6%E2%80%A6an-a1%5E2-a2%5E2-%E2%80%A6%E2%80%A6-an%5E2%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%BD%93n%E2%89%A55%E6%97%B6%2Cbn%2B1-bn%3D-1%EF%BC%882%EF%BC%89%E8%8B%A5%E6%AD%A3%E6%95%B4%E6%95%B0m%E6%BB%A1%E8%B6%B3a1a2%E2%80%A6am%3Da1%5E2%2Ba2%5E2%2B%E2%80%A6%2Bam%5E2%2C%E6%B1%82m)
已知数列{an}满足a1=1,a2=2,a3=3,a4=4,a5=5,当n≥5时,a(n+1)=a1a2……an-1,若数列{bn}(n∈N*)满足bn=a1a2……an-a1^2-a2^2-……-an^2(1)求证:当n≥5时,bn+1-bn=-1(2)若正整数m满足a1a2…am=a1^2+a2^2+…+am^2,求m
已知数列{an}满足a1=1,a2=2,a3=3,a4=4,a5=5,当n≥5时,a(n+1)=a1a2……an-1,若数列{bn}(n∈N*)满足bn=a1a2……an-a1^2-a2^2-……-an^2
(1)求证:当n≥5时,bn+1-bn=-1
(2)若正整数m满足a1a2…am=a1^2+a2^2+…+am^2,求m的值
已知数列{an}满足a1=1,a2=2,a3=3,a4=4,a5=5,当n≥5时,a(n+1)=a1a2……an-1,若数列{bn}(n∈N*)满足bn=a1a2……an-a1^2-a2^2-……-an^2(1)求证:当n≥5时,bn+1-bn=-1(2)若正整数m满足a1a2…am=a1^2+a2^2+…+am^2,求m
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