怎么得出

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怎么得出

怎么得出
怎么得出                                                                                                                                  

怎么得出
解 a(n+1)+sn=a(n+1)sn
a(n+1)-a(n+1)sn=-sn
a(n+1){1-sn}=-sn
a(n+1)=sn/(sn-1),要求sn≠1
1/a(n+1)=(sn-1)/sn
=1-1/sn
1/sn=1-1/a(n+1)
={a(n+1)-1}/a(n+1)
sn=a(n+1)/{a(n+1)-1}