Tuesday, September 28, 2010

8th Mexican Mathematical Olympiad Problems 1994

8th Mexican Mathematical Olympiad Problems 1994A1.  The sequence 1, 2, 4, 5, 7, 9 ,10, 12, 14, 16, 17, ... is formed as follows. First we take one odd number, then two even numbers, then three odd numbers, then four even numbers, and so on. Find the number in the sequence which is closest to 1994.