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MATH / The positive integers up to 2007 are alternately subtracted and added:

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The positive integers up to 2007 are alternately subtracted and added: 1−2+3−4+⋯+2001−2002+2003−2004+2005−2006+2007.1 - 2 + 3 - 4 + \cdots + 2001 - 2002 + 2003 - 2004 + 2005 - 2006 + 2007.What is the value of the expression?
Plain-text mathematical notation (without MathML)
The positive integers up to 2007 are alternately subtracted and added:
1−2+3−4+⋯+2001−2002+2003−2004+2005−2006+2007.What is the value of the expression?
Original LaTeX notation
The positive integers up to 2007 are alternately subtracted and added:
\[1 - 2 + 3 - 4 + \cdots + 2001 - 2002 + 2003 - 2004 + 2005 - 2006 + 2007.\]What is the value of the expression?

level

Level 1

type

Intermediate Algebra

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Source and history

Official source

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