{"paper":{"id":"site-3063","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":2,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-3063/zad/3200","paper_id":"site-3063","number":"3200","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Ile wyrazów ujemnych ma ciąg (a_n) określony wzorem a_n=n^2-2n-24 dla n>=1?","answer":null,"answer_text":null,"solution":null,"image":"img/site/3063/zad-3200.svg","solution_image":"img/site/3063/rozw-3200.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3063/zad/6722","paper_id":"site-3063","number":"6722","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Dany jest ciąg (a_n) określony wzorem rekurencyjnym: {a_1 = -2; a_{n+1} = n⋅a_n + 4 dla każdej liczby naturalnej n≥1. Oblicz sumę czterech początkowych wyrazów ciągu (a_n).","answer":null,"answer_text":null,"solution":null,"image":"img/site/3063/zad-6722.svg","solution_image":"img/site/3063/rozw-6722.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}