Ingram Norris
04/25/2023 · Elementary School
Exercice \( \mathrm{N} 1(4 \mathrm{pts} \) ) On considère la suite (un ) définie pour tout entier naturel n par \( u_{n}=-5 \times(-1)^{n} \) a. Calculer \( u_{1} ; u_{2} \) et \( u_{3} \) b. Exprimer \( u_{n+1} \) en fonction de \( n \). c. Démontrer que \( \left(u_{n}\right) \) est une suite géométrique dont on précisera le premier terme \( u_{0} \) et la raison.
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a. \( u_{1} = 5 \), \( u_{2} = -5 \), \( u_{3} = 5 \)
b. \( u_{n+1} = -5 \times (-1)^{n+1} \)
c. La suite est géométrique avec \( u_{0} = -5 \) et raison \( r = -1 \)
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