an+1=an^2/(an^2+2an),怎么构造新数列解此题问题是a(n+1)=an^2/(an^2+2an)

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an+1=an^2/(an^2+2an),怎么构造新数列解此题问题是a(n+1)=an^2/(an^2+2an)

an+1=an^2/(an^2+2an),怎么构造新数列解此题问题是a(n+1)=an^2/(an^2+2an)
an+1=an^2/(an^2+2an),怎么构造新数列解此题
问题是a(n+1)=an^2/(an^2+2an)

an+1=an^2/(an^2+2an),怎么构造新数列解此题问题是a(n+1)=an^2/(an^2+2an)
把上面式子两边都求倒数,即1/A(n+10)=1+2/An (*)
再令1/An=Bn,则(*)式为B(n+1)=1+2Bn
再两边加一,得[1+B(n+1)]/[1+Bn]=1/2
看就是一个等比数列了,不用我说了吧!