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2004 AMC 10B Problem 19

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2004 AMC 10B Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

Sequences & Series · difficulty 3 of 5 · about 4 min · position P16-20

In the sequence $2001$ , $2002$ , $2003$ , $\ldots$ , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is $2001 + 2002 - 2003 = 2000$ . What is the $2004^\textrm{th}$ term in this sequence?

A)
$-2004$
B)
$-2$
C)
$0$
D)
$4003$
E)
$6007$

2004 AMC 10B Problem 19

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