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study-the-sequence-U-n-1-1-u-n-2-with-U-0-a-gt-0-




Question Number 56813 by maxmathsup by imad last updated on 24/Mar/19
study the sequence  U_(n+1) =(√((1+u_n )/2))  with U_0 =a>0.
$${study}\:{the}\:{sequence}\:\:{U}_{{n}+\mathrm{1}} =\sqrt{\frac{\mathrm{1}+{u}_{{n}} }{\mathrm{2}}} \\ $$$${with}\:{U}_{\mathrm{0}} ={a}>\mathrm{0}. \\ $$

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