Réponse :

Bonjour

Exercice 1 :

1. u0 = 0² -0 = 0

u1 = 1² - 1 = 0

u2 = 2² - 2 = 2

u3 = 3² - 3 = 6

u4 = 4² - 4 = 12

2. u50 = 50² - 50 = 2500 - 50 = 2450

3. u2n = (2n)² - 2n = 2n (2n - 1) ou 4n² - 2n si on développe

4. un+1 = (n+1)² - (n+1) = n² + 2n + 1 - n - 1 = n² - n + 2n = un + 2n

Exercice 2

1. v0+1 = v1 = 2v0 - 3 = 8 - 3= 5

v1+1 = v2 = 2v1 - 3 = 10 - 3 = 7

v2+1 = v3 = 2v2 - 3 = 14 - 3 = 11

2. vn = 2vn-1 - 3

3. A faire.

4. v9+1 = v10 = 2v9 - 3