Quiz — Arith-suites-cn2 LPS 2022.pdf

Question 1 sur 10 20:00

[{"id":76366,"question":"Quelle est la formule du terme général d'une suite arithmétique ?","option_a":"Uₙ = U₁ + n","option_b":"Uₙ = U₁ + (n-1)r","option_c":"Uₙ = U₁ * r","option_d":"Uₙ = U₁ \/ n","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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Uₙ = U₁ + n\", \"b\": \"Uₙ = U₁ + (n-1)r\", \"c\": \"Uₙ = U₁ ","_debug_options_count":4},{"id":76367,"question":"Si une suite arithmétique a pour premier terme U₁ = 5 et pour raison r = 3, quel est le 4ème terme ?","option_a":"11","option_b":"14","option_c":"17","option_d":"20","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le 4ème terme se calcule avec U₄ = U₁ + (4-1)*3 = 5 + 9 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"11\", \"b\": \"14\", \"c\": \"17\", \"d\": \"20\"}}","_debug_options_count":4},{"id":76368,"question":"La somme des n premiers termes d'une suite arithmétique est toujours positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme peut être négative si les termes de la suite sont négatifs ou si la raison est négative.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":76369,"question":"Quelle est la raison d'une suite arithmétique dont les termes sont : 2, 5, 8, 11, ... ?","option_a":"2","option_b":"3","option_c":"5","option_d":"8","option_e":"","option_f":"","bonne_reponse":"b","explication":"La raison est la différence entre deux termes consécutifs : 5 - 2 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"2\", \"b\": \"3\", \"c\": \"5\", \"d\": \"8\"}}","_debug_options_count":4},{"id":76370,"question":"Si une suite arithmétique a pour premier terme U₁ = -2 et pour raison r = 4, quel est le 6ème terme ?","option_a":"18","option_b":"20","option_c":"22","option_d":"24","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le 6ème terme se calcule avec U₆ = -2 + (6-1)*4 = -2 + 20 = 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"18\", \"b\": \"20\", \"c\": \"22\", \"d\": \"24\"}}","_debug_options_count":4},{"id":76371,"question":"La somme des 5 premiers termes d'une suite arithmétique est toujours égale à 5 fois le troisième terme.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des 5 premiers termes est S₅ = 5\/2 * (U₁ + U₅), qui n'est pas toujours égale à 5*U₃.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":76372,"question":"Quelle est la formule de la somme des n premiers termes d'une suite arithmétique ?","option_a":"Sₙ = n * U₁","option_b":"Sₙ = n\/2 * (U₁ + Uₙ)","option_c":"Sₙ = U₁ + Uₙ","option_d":"Sₙ = n * (U₁ + Uₙ)","option_e":"","option_f":"","bonne_reponse":"b","explication":"La formule correcte est Sₙ = n\/2 * (U₁ + Uₙ).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Sₙ = n * U₁\", \"b\": \"Sₙ = n\/2 * (U₁ + Uₙ)\", \"c\": \"Sₙ =","_debug_options_count":4},{"id":76373,"question":"Si une suite arithmétique a pour premier terme U₁ = 10 et pour raison r = -2, quel est le 5ème terme ?","option_a":"2","option_b":"4","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le 5ème terme se calcule avec U₅ = 10 + (5-1)*(-2) = 10 - 8 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2\", \"b\": \"4\", \"c\": \"6\", \"d\": \"8\"}}","_debug_options_count":4},{"id":76374,"question":"La raison d'une suite arithmétique peut être un nombre décimal.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La raison peut être un nombre décimal, par exemple r = 0.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":76375,"question":"Si une suite arithmétique a pour premier terme U₁ = 7 et pour raison r = 2, quelle est la somme des 4 premiers termes ?","option_a":"28","option_b":"32","option_c":"36","option_d":"40","option_e":"","option_f":"","bonne_reponse":"c","explication":"Les 4 premiers termes sont 7, 9, 11, 13. Leur somme est 7 + 9 + 11 + 13 = 40.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"28\", \"b\": \"32\", \"c\": \"36\", \"d\": \"40\"}}","_debug_options_count":4}]