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Question Number 40124 by maxmathsup by imad last updated on 15/Jul/18

let u_0 ≥4  and  u_(n+1) =2u_n −3  1) calculate u_n  interms of u_0  and n  2)study the convergence of (u^n )

$${let}\:{u}_{\mathrm{0}} \geqslant\mathrm{4}\:\:{and}\:\:{u}_{{n}+\mathrm{1}} =\mathrm{2}{u}_{{n}} −\mathrm{3} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{u}_{{n}} \:{interms}\:{of}\:{u}_{\mathrm{0}} \:{and}\:{n} \\ $$$$\left.\mathrm{2}\right){study}\:{the}\:{convergence}\:{of}\:\left({u}^{{n}} \right) \\ $$

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