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354 lines
5.1 KiB
354 lines
5.1 KiB
#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\end_layout
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\begin_layout Plain Layout
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Soit la suite
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\begin_inset Formula $u$
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\end_inset
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telle que
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\begin_inset Formula $u_{0}=2$
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et
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pour tout entier
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, et soit
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la suite définie par
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pour tout entier
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\begin_inset Formula $n\geqslant1$
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.
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\end_layout
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\begin_layout Plain Layout
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Montrer que la suite
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\begin_inset Formula $v$
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\end_inset
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est une suite géométrique dont on donnera la raison et le premier terme
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puis donner une formule pour
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\begin_inset Formula $v_{n}$
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\end_inset
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puis pour
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\begin_inset Formula $u_{n}$
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\end_inset
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en fonction de l'entier naturel
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\begin_inset Formula $n$
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\end_inset
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.
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status open
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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\backslash
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vspace{8mm}
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vspace{8mm}
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\end_layout
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\end_layout
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position "t"
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has_inner_box 1
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width "100col%"
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special "none"
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height "1in"
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height_special "totalheight"
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thickness "0.4pt"
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separation "3pt"
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shadowsize "4pt"
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framecolor "black"
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backgroundcolor "none"
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status open
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\begin_layout Plain Layout
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\begin_inset VSpace 1cm
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\end_inset
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\end_layout
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\begin_layout Plain Layout
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Établir, en faisant apparaitre les calculs, le tableau de signe sur
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\begin_inset Formula $\mathbb{R}$
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\end_inset
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de la fonction
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\begin_inset Formula $f:x\mapsto3x^{2}+4x-7$
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\end_inset
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et en déduire les solutions sur
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\begin_inset Formula $\mathbb{R}$
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\end_inset
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de l'inéquation
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\begin_inset Formula $3x^{2}+4x+8\leqslant15$
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\end_inset
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.
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\end_layout
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\begin_layout Plain Layout
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(Si vous ne parvenez pas à le faire par le calcul, une résolution graphique
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du problème rapportera une partie des points)
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\end_layout
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\begin_layout Plain Layout
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status open
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\backslash
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hrule
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\backslash
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vspace{8mm}
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\backslash
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\backslash
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\backslash
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\end_body
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\end_document
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