[{"question":"Ur\u010dte ko\u013eko zaplat\u00edte za 12 ton cementu v pr\u00edpade, \u017ee za prv\u00fa tonu zaplat\u00edte 50 centov a za ka\u017ed\u00fa \u010fal\u0161iu zaplat\u00edte dva kr\u00e1t to\u013eko ako za predch\u00e1dzaj\u00facu.","answers":["2000","2500","3000","2047.5"],"correct":"2047.5","order":"1"},{"question":"V aritmetickej postupnosti plat\u00ed: a4+a5 = 41, a1*a8 = 114, n = 8, diferencia je kladn\u00e9 \u010d\u00edslo. Ktor\u00e9 s\u00fa to \u010d\u00edsla?","answers":["3,8,13,18,23,28,33,38","3,8,13,18,23,28,33,40","3,8,13,18,23,28,33,50","3,8,13,18,23,28,33,60"],"correct":"3,8,13,18,23,28,33,38","order":"2"},{"question":"Ak\u00fd je vz\u0165ah na v\u00fdpo\u010det s\u00fa\u010dtu prv\u00fdch n \u010dlenov aritmetickej postupnosti?","answers":["s = (a1 + an)\/2","s = n*(a1 + an)\/2","s = n*(a1 + an)","s = n*an\/2"],"correct":"s = n*(a1 + an)\/2","order":"3"},{"question":"Ako vyzer\u00e1 tento vz\u0165ah v r\u00e1mci geometrickej postupnosti?","answers":["s = (1 - q^n)\/(1 - q)","s = a1*(1 - q^n)\/q","s = a1*(1 - q^n)\/(1 - q)","s = a1*(1 - q)\/(1 - q^n)"],"correct":"s = a1*(1 - q^n)\/(1 - q)","order":"4"},{"question":"V aritmetickej postupnosti plat\u00ed: a1+a3+a6=30, a4-a3-a=0. Ktor\u00e9 s\u00fa to \u010d\u00edsla?","answers":["3,6,9,12,15,18","1,2,3,4,5,6","2,4,6,8,10,12","4,8,12,16,20,24"],"correct":"3,6,9,12,15,18","order":"5"},{"question":"Ak\u00e1 je diferencia aritmetickej postupnosti z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["1","2","3","4"],"correct":"3","order":"6"},{"question":"Ur\u010dte kvocient v geometrickej postupnosti, pre ktor\u00fa plat\u00ed: a3 = 4, a5 = 16","answers":["(+1 a -1)","(+3 a -3)","(+2 a -2)","(+4 a -4)"],"correct":"(+2 a -2)","order":"7"},{"question":"Ak\u00fdch je prv\u00fdch \u0161es\u0165 \u010dlenov postupnosti z predch\u00e1dzaj\u00faceho pr\u00edkladu? Po\u010d\u00edtajte s kladn\u00fdm kvocientom.","answers":["1,2,4,6,8,12","2,4,6,8,10,12","1,2,3,4,5,6","1,2,4,8,16,32"],"correct":"1,2,4,8,16,32","order":"8"},{"question":"Ktor\u00e9 z uveden\u00fdch postupnost\u00ed nepatr\u00ed medzi aritmetick\u00fa postupnos\u0165?","answers":["2, 4, 6, 8, 12, 14","10,20,40,80,160,320","100, 150, 200, 250, 300","1\/2, 5\/2, 9\/2, 13\/2, 17\/2"],"correct":"10,20,40,80,160,320","order":"9"},{"question":"Ktor\u00e9 z uveden\u00fdch postupnost\u00ed nepatr\u00ed medzi geometrick\u00fa postupnos\u0165?","answers":["3^2, 6^2, 12^2, 24^2, 48^2","\u221a3, \u221a27, \u221a243, \u221a2187","5, 20, 80,320, 1280","1\/2, 5\/2, 9\/2, 13\/2, 17\/2"],"correct":"1\/2, 5\/2, 9\/2, 13\/2, 17\/2","order":"10"}]