Réponse :
ex12
{a0 = 1
{an+1 = 10 an/(an + 3) pour tout entier naturel n
a1 = 10a0/(a0 + 3) = 10 x 1/(1+3) = 10/4 = 5/2 = 2.5
a2 = 10a1/(a1 + 3) = 10 x 2.5/(2.5+3) = 25/5.5 ≈ 4.6
a3 = 10a2/(a2 + 3) = 10 x 4.6/(4.6 + 3) = 46/7.6 ≈ 6.05
a4 = 10a3/(a3+3) = 10 x 6.05/(6.05 + 3) = 60.5/9.05 = 6.685
a5 = 10a4/(a4 + 3) = 10 x 6.685/(6.685 + 3) = 66.85/9.685 ≈ 6.902
Explications étape par étape