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MATH / In the sequence 2001, 2002, 2003, … , 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 fou…

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problem

In the sequence 20012001, 20022002, 20032003, …\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=20002001 + 2002 - 2003 = 2000. What is the $2004^\textrm{th}$ term in this sequence?
Plain-text mathematical notation (without MathML)
In the sequence 2001, 2002, 2003, … , 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?
Original LaTeX notation
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?

level

Level 2

type

Intermediate Algebra

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Source and history

task_id
f74b6550-b075-585c-aacc-74d03474e3f3
task_key
intermediate~5falgebra--test--f74b6550-b075-585c-aacc-74d03474e3f3
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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