suites.py

Created by stella-maestre

Created on May 26, 2021

655 Bytes

suites arithmétiques
Une suite (un) est dite arithmétique si l’on passe d’un terme au suivante
en ajoutant un même nombre r appelé raison de la suite. Pour tout n :
-> un+1 = un + r 

pour tout entier n un=u0 +nr

1+2+3...+n=n(n+1)/2
si de premier terme u0 et de raison r
u0+u1...+un=(n+1) x uO+r x n(n+1)/2

suites géomagnétiques:
Une suite (un) est dite géométrique si l’on passe d’un terme au suivant 
en multipliant par un même nombre q appelé raison de la suite. Pour tout n :
-> un+1 =q×un 

pour tout nombre q pas =1
1+q+q^2....q^n=q^n+1/q-1

si elle est de premier terme u0 et q pas = à 1
u0+u1+u2...+un=u0 x (q^n+1)-1/q-1

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