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study-the-sequence-u-1-ln-2-and-u-n-k-1-n-1-ln-2-u-k-




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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