We are given 2014 positive numbers such that
x(1) < x(2) < x(3) <… < x(2014)
It is known that the number x(k) is 19 times the average of the 2014 numbers.
(a) Determine the maximum possible value of k
(b) Give an example of 2014 numbers
x(1) < x(2) < x(3) <… < x(2014) such that this maximum value is achieved
A Possible Solution
(Please refer to the attached images)