已知数列{an}满足a1=1,an+1= an/2an+1.(1)计算a2.a3.a4的值 (2)用归纳推测an,并用数字归纳法证明你
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![已知数列{an}满足a1=1,an+1= an/2an+1.(1)计算a2.a3.a4的值 (2)用归纳推测an,并用数字归纳法证明你](/uploads/image/z/13476322-10-2.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%2Can%2B1%3D+an%2F2an%2B1.%EF%BC%881%EF%BC%89%E8%AE%A1%E7%AE%97a2.a3.a4%E7%9A%84%E5%80%BC+%282%29%E7%94%A8%E5%BD%92%E7%BA%B3%E6%8E%A8%E6%B5%8Ban%2C%E5%B9%B6%E7%94%A8%E6%95%B0%E5%AD%97%E5%BD%92%E7%BA%B3%E6%B3%95%E8%AF%81%E6%98%8E%E4%BD%A0)
已知数列{an}满足a1=1,an+1= an/2an+1.(1)计算a2.a3.a4的值 (2)用归纳推测an,并用数字归纳法证明你
已知数列{an}满足a1=1,an+1= an/2an+1.(1)计算a2.a3.a4的值 (2)用归纳推测an,并用数字归纳法证明你
已知数列{an}满足a1=1,an+1= an/2an+1.(1)计算a2.a3.a4的值 (2)用归纳推测an,并用数字归纳法证明你
an+1=an/2a(n+1) 所以:a(n+1)=an/2(1+an)
a2=1/2*2=1/4
a3=(1/4)/2*5/4=1/10
a4=(1/10)/2*11/10=1/22
an+1= an/2an+1,
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