数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1 设Sn=1/a1+1/a2+...+1/an,n>2数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1设Sn=1/a1+1/a2+...+1/an,n>2证明1
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![数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1 设Sn=1/a1+1/a2+...+1/an,n>2数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1设Sn=1/a1+1/a2+...+1/an,n>2证明1](/uploads/image/z/6803872-16-2.jpg?t=%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3D3%2F2%2Can%2B1%3Dan2-an%2B1%2C%E6%B1%82%E8%AF%81%EF%BC%9A1%2Fan%3D1%2F%28an%29-1+-+1%2F%28an%2B1%29-1+%E8%AE%BESn%3D1%2Fa1%2B1%2Fa2%2B...%2B1%2Fan%2Cn%3E2%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3D3%2F2%2Can%2B1%3Dan2-an%2B1%2C%E6%B1%82%E8%AF%81%EF%BC%9A1%2Fan%3D1%2F%28an%29-1+-+1%2F%28an%2B1%29-1%E8%AE%BESn%3D1%2Fa1%2B1%2Fa2%2B...%2B1%2Fan%2Cn%3E2%E8%AF%81%E6%98%8E1)
数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1 设Sn=1/a1+1/a2+...+1/an,n>2数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1设Sn=1/a1+1/a2+...+1/an,n>2证明1
数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1 设Sn=1/a1+1/a2+...+1/an,n>2
数列{an}满足a1=3/2,an+1=an2-an+1,
求证:1/an=1/(an)-1 - 1/(an+1)-1
设Sn=1/a1+1/a2+...+1/an,n>2证明1
数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1 设Sn=1/a1+1/a2+...+1/an,n>2数列{an}满足a1=3/2,an+1=an2-an+1,求证:1/an=1/(an)-1 - 1/(an+1)-1设Sn=1/a1+1/a2+...+1/an,n>2证明1
第一问好正
需支出数列单调增大于0
第二问
根据第一问结论
sn=1/a1+1/a2-1 -1/a3-1+.+1/an-1 -1-1/an-1
=1/a1+1/a2-1-1/an-1
=2-1/an-1
an单增
-1/an-1 单增 (-1/a3-1,2)
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