What is the value of 1 -2 + 3 - 4 + 5 -6 + 7... - 2004 + 2005 - 2006 + 2007?

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- Apr 20th 2007, 11:52 AMceasar_19134What is the value of...
What is the value of 1 -2 + 3 - 4 + 5 -6 + 7... - 2004 + 2005 - 2006 + 2007?

- Apr 20th 2007, 11:57 AMCaptainBlack

1 -2 + 3 - 4 + 5 -6 + 7... - 2004 + 2005 - 2006 + 2007 =

......................1 +(-2 + 3) + (- 4 + 5) + (-6 + 7)... +(- 2004 + 2005) + (- 2006 + 2007)

There are 1003 bracketed terms each of which has value 1, and an additional

1 at the beginning, so the sum is 1004.

RonL