2

Part of 2008 Paraguay Mathematical Olympiad

Problems(1)

Paraguayan National Olympiad 2008, Level 3, Problem 2

Source:

Find for which values of

n

, an integer larger than

1

but smaller than

100

, the following expression has its minimum value:

S = |n-1| + |n-2| + \ldots + |n-100|

conicsparabolaabsolute value