# 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 .