Corrigé du 30 P. 22

retour

\[\begin{aligned} w_0 &= 5\times 0 + \frac 3{0+2} = \frac 32\;;& \\ w_1 &= 5\times 1 \frac3{1+2} = 5+\frac33 = 5+1 = 6\;;& \\ w_2 &= 5\times 2 + \frac3{2+2}=10+\frac34 = \frac{40+3}4=\frac{43}4\;;& \\ w_3 &= 5\times 3 + \frac3{3+2} = 15 + \frac35 = \frac{75+3}5 = \frac{78}5\;;& \\ w_4 &= 5\times 4 + \frac{3}{4+2} = 20 + \frac36 = 20+\frac12 = \frac{40+1}2 = \frac{41}2.& \end{aligned}\]

retour