Number theory · Integer constraints · Strictly increasing sequences · Bounding · Case analysis
In the course of a five-year programme of study a student passed \(31\) exams in total. In every year he passed more exams than in the year before, and in the fifth year he passed three times as many exams as in the first year. How many exams did the student pass in the fourth year?
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Municipal Competition 2003, high school grade I, category A, problem 5. Organized by the Mathematical Society of Serbia (DMS). Source