# Difference between revisions of "2008 AIME II Problems"

I like pie (talk | contribs) (New page: == Problem 1 == {{problem}} Solution == Problem 2 == {{problem}} Solution == Problem 3 == {{problem}} [[2008 ...) |
|||

Line 1: | Line 1: | ||

== Problem 1 == | == Problem 1 == | ||

− | + | Let <math>N = 100^2 + 99^2 - 98^2 - 97^2 + 96^2 + \cdots + 4^2 + 3^2 - 2^2 - 1^2</math>, where the additions and subtractions alternate in pairs. Find the remainder when <math>N</math> is divided by <math>1000</math>. | |

[[2008 AIME II Problems/Problem 15|Solution]] | [[2008 AIME II Problems/Problem 15|Solution]] |

## Revision as of 18:27, 3 April 2008

## Contents

## Problem 1

Let , where the additions and subtractions alternate in pairs. Find the remainder when is divided by .

## Problem 2

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 3

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 4

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 5

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 6

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 7

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 8

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 9

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 10

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 11

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 12

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 13

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 14

*This problem has not been edited in. If you know this problem, please help us out by adding it.*

## Problem 15

*This problem has not been edited in. If you know this problem, please help us out by adding it.*