Quiz : Maîtrisez les suites arithmétiques en 10 questions

Question 1 sur 10 10:00

[{"id":24328,"question":"Quelle est la formule du terme général d'une suite arithmétique ?","option_a":"uₙ = u₁ × rⁿ⁻¹","option_b":"uₙ = u₁ + (n-1)×r","option_c":"uₙ = u₁ × (n-1) + r","option_d":"uₙ = u₁ + n×r","option_e":"","option_f":"","bonne_reponse":"B","explication":"La formule correcte est uₙ = u₁ + (n-1)×r, où u₁ est le premier terme et r la raison de la suite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24329,"question":"La suite définie par uₙ = 3n + 2 est une suite arithmétique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une suite arithmétique de raison 3 et de premier terme u₁ = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24330,"question":"Quel est le 10ème terme de la suite arithmétique définie par u₁ = 4 et r = 2 ?","option_a":"18","option_b":"20","option_c":"22","option_d":"24","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le 10ème terme est u₁₀ = u₁ + (10-1)×r = 4 + 9×2 = 22.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24331,"question":"La somme des 5 premiers termes d'une suite arithmétique de premier terme 3 et de raison 1 est :","option_a":"15","option_b":"20","option_c":"25","option_d":"30","option_e":"","option_f":"","bonne_reponse":"B","explication":"S₅ = 5\/2 × (u₁ + u₅) = 5\/2 × (3 + 7) = 5\/2 × 10 = 25. La réponse correcte est 25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24332,"question":"Une suite arithmétique peut avoir une raison négative.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une suite arithmétique peut avoir une raison positive, négative ou nulle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24333,"question":"Quel est le premier terme d'une suite arithmétique si u₅ = 17 et r = 3 ?","option_a":"5","option_b":"6","option_c":"7","option_d":"8","option_e":"","option_f":"","bonne_reponse":"A","explication":"u₅ = u₁ + (5-1)×r ⇒ 17 = u₁ + 12 ⇒ u₁ = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24334,"question":"La suite définie par uₙ = 5 - 2n est une suite arithmétique de raison :","option_a":"-2","option_b":"2","option_c":"5","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La raison est le coefficient de n, soit -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24335,"question":"La somme des 8 premiers termes d'une suite arithmétique de premier terme 1 et de raison 1 est :","option_a":"28","option_b":"32","option_c":"36","option_d":"40","option_e":"","option_f":"","bonne_reponse":"D","explication":"S₈ = 8\/2 × (u₁ + u₈) = 4 × (1 + 8) = 4 × 9 = 36.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24336,"question":"Une suite arithmétique est toujours croissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une suite arithmétique peut être croissante (r \u003E 0), décroissante (r \u003C 0) ou constante (r = 0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24337,"question":"Quel est le rang du terme égal à 25 dans la suite arithmétique définie par uₙ = 2n + 1 ?","option_a":"12","option_b":"13","option_c":"14","option_d":"15","option_e":"","option_f":"","bonne_reponse":"A","explication":"2n + 1 = 25 ⇒ 2n = 24 ⇒ n = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]