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Question Number 33282 by abdo imad last updated on 14/Apr/18

study the sequence u_0 =a>1 and  u_(n+1) =(1/2)(u_n  +(a/u_n )) .

$${study}\:{the}\:{sequence}\:{u}_{\mathrm{0}} ={a}>\mathrm{1}\:{and} \\ $$ $${u}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{2}}\left({u}_{{n}} \:+\frac{{a}}{{u}_{{n}} }\right)\:. \\ $$

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