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Soit la suite 
\begin_inset Formula $u$
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 telle que 
\begin_inset Formula $u_{0}=2$
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 et 
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, et soit 
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 pour tout entier 
\begin_inset Formula $n\geqslant1$
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Montrer que la suite 
\begin_inset Formula $v$
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 est une suite géométrique dont on donnera la raison et le premier terme
 puis donner une formule pour 
\begin_inset Formula $v_{n}$
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 en fonction de l'entier naturel 
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Établir, en faisant apparaitre les calculs, le tableau de signe sur 
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 de la fonction 
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 et en déduire les solutions sur 
\begin_inset Formula $\mathbb{R}$
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 de l'inéquation 
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.
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(Si vous ne parvenez pas à le faire par le calcul, une résolution graphique
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