Problem:
What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting numbers?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Each even counting number, beginning with 2, is one more than the preceding odd counting number. Therefore the difference is .
The problems on this page are the property of the MAA's American Mathematics Competitions