Bonjour,
Uₙ₊₁ = 2/3Uₙ - 1
⇔ Uₙ₊₁ = 3/3Uₙ - 1/3Uₙ - 1
⇔ Uₙ₊₁ = Uₙ - 1/3Uₙ - 1
⇔ Uₙ₊₁ - Uₙ = - 1/3Uₙ - 1
⇒ Démonstration faite !
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Bonjour,
Uₙ₊₁ = 2/3Uₙ - 1
⇔ Uₙ₊₁ = 3/3Uₙ - 1/3Uₙ - 1
⇔ Uₙ₊₁ = Uₙ - 1/3Uₙ - 1
⇔ Uₙ₊₁ - Uₙ = - 1/3Uₙ - 1
⇒ Démonstration faite !