Difference between revisions of "2003 AMC 12A Problems/Problem 1"
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What is the Difference between the sum of the first <math>2003</math> even counting numbers and the sum of the first <math>2003</math> odd counting numbers? | What is the Difference between the sum of the first <math>2003</math> even counting numbers and the sum of the first <math>2003</math> odd counting numbers? | ||
− | <math> \mathrm{(A) \ } 0\qquad \mathrm{(B) \ } 1\qquad \mathrm{(C) \ } 2\qquad \mathrm{(D) \ } | + | <math> \mathrm{(A) \ } 0\qquad \mathrm{(B) \ } 1\qquad \mathrm{(C) \ } 2\qquad \mathrm{(D) \ } 2003\qquad \mathrm{(E) \ } 4006 </math> |
== Solution == | == Solution == |
Revision as of 13:40, 21 December 2009
Problem
What is the Difference between the sum of the first even counting numbers and the sum of the first odd counting numbers?
Solution
The first even counting numbers are .
The first odd counting numbers are .
Thus, the problem is asking for the value of .