Paraguayan National Olympiad 2007, Level 3, Problem 1
Source:
August 31, 2014
Problem Statement
A list with positive integers is written on a board, such that the arithmetic mean of all the numbers is . Then, seven consecutive numbers are erased from the board. The arithmetic mean of the remaining numbers is .
The seven erased numbers have this property: the sixth number is half of the seventh, the fifth number is half of the sixth, and so on. Determine the erased numbers.