Détermination du terme de rang n de la suite u ×q u:
u1
×q u2
............................................
u3
...................................
×q un
Pour obtenir le terme de rang n ,un, on multiplie q (n-1) fois par base u1 un = u1 ×q (n-1) un : Terme de rang n u1 : Terme de rang 1 (appelé base) n: Rang q : Raison
Exemple : Calculer le huitième terme de la suite de base 7 et de raison 2
Exemple : Calculer le huitième terme de la suite de base 7 et de raison 2 u1 = 7 q=2 n =8 u8 = ?
(terme de rang 1) (raison) (rang) (terme de rang 8) un = u1× q n-1 u8 = 7× 2(8-1) u8 = 7× 27 = 896 u8 = 896
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