suitegeometrique.py

Created on January 16, 2022

493 Bytes

# formule de récurrence
# u_n+1=u_n*q
# --> q=(u_n+1)/u_n
#
# formule explicite
# u_n=u_0*q**n
#
# (u_n+1-u_n)/u_n=q-1
#
# somme de termes consécutifs
# si terme consécutif : 
# S=(1er terme * (1-q**nb de terme))/1-q
# pour tout entier naturel n non nul :
# 1+q+...+q**n = (1-q**n+1)/1-q
#
# sens de variation
# u_0 >0 et q>1    u est croissante
# u_0 >0 et 0<q<1  u est décroissante
# q=1   u est constante
#
# au lieu d'utiliser un système
# u_n=u_p*q**(n-p)
#

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