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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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