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study-the-sequence-U-n-1-U-n-1-n-1-with-U-0-1-




Question Number 62035 by maxmathsup by imad last updated on 14/Jun/19
study the sequence  U_(n+1) =(√(U_n  +(1/(n+1))))  with  U_0 =1 .
$${study}\:{the}\:{sequence}\:\:{U}_{{n}+\mathrm{1}} =\sqrt{{U}_{{n}} \:+\frac{\mathrm{1}}{{n}+\mathrm{1}}}\:\:{with}\:\:{U}_{\mathrm{0}} =\mathrm{1}\:. \\ $$

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