suites.py

Created on January 09, 2022

497 Bytes

suite arthmétique :
  u(n+1) = u(n) + r
  u(n) = u(0) + n*r
  u(n) = u(p) + (n-p)*r
S=nbdetermes*((1erterme+dernierterme)/2)

suite géométrique :
  u(n+1) = u(n)*q
  u(n) = u(0)* q**n
  u(n)= u(p) * q**(n-p)
S=1erterme*((1- q**nbdetermes)/(1-q))

La suite u converge vers l lorsque tout intervalle ouvert contenant l contient 
tout les termes de la suite à partir d'un certain rang
a>0, il existe un rang Na appartenant à N tel que pour tout n>= Na,
u(n) appartient à ]l-a,l+a[

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