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Soit suite numérique (Un)n>=1 tel que: U1=1 et Un+1=1/16(1+4Un+la racine de 1+24Un) on pose Vn>=0; V²n=1+24Un quelque soit n appartient à N 1) Montrer que quelque soit n dans N: Vn+1 -3=1/2(Vn-3) 2) Conclude Un en relation avec n
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