recurence1.py

Created on January 20, 2023

248 Bytes

demontrons par recurrence
Pn: Vn<5
V1=2 et Vn+1=3/5*Vn+2

Initialisation
V1=2<5 donc P1 est verifie

Heredite
soit k E N*, on suppose que
Pk est verifie Vk<5
Vk+1=3/5*Vk+2
Vk+1<3/5*5+2
Vk+1<5

Conclusion
ainsi Pn est verifie AnEN*

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