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Sagot :

Bonsoir ,


1) V(n+1) = 2(n+1)^2 -3(n+1) + 2
V(n+1) = 2n^2 + 4n + 2 -3n -3 +2
V(n+1) = 2n^2 + n +1


2) V(n+1) - V(n) = 2n^2 + n +1 - 2n^2 + 3n -2
V(n+1) - V(n) = 4n - 1

V(n+1) - V(n) est donc strictement positif sur N*

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