Question #155549

if a sequence ⟨Sn⟩ is defined by Sn = Sn/1-Sn-1, s>0, s1>0. then show that the sequence converges to the positive root of the equation x²+x-5=0


1
Expert's answer
2021-01-15T15:02:30-0500

* I think the question is wrong. The given sequence is not defined properly.

If Sn=Sn1Sn1S_n=\frac {S_n}{1-S_{n-1}} , then it gives Sn1=0S_{n-1}=0 , which contradict S1>0S_1>0 .

Also here s>0s>0 ,which is not defined.


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