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Question Number 50390 by Abdo msup. last updated on 16/Dec/18

study the sequence u_1 =ln(2) and  u_n =Σ_(k=1) ^(n−1) ln(2−u_k ) .

$${study}\:{the}\:{sequence}\:{u}_{\mathrm{1}} ={ln}\left(\mathrm{2}\right)\:{and} \\ $$$${u}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} {ln}\left(\mathrm{2}−{u}_{{k}} \right)\:. \\ $$

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