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Compute 1 - 2 + 3 - 4 +... + 2005 - 2006 + 2007.

 Apr 21, 2020
 #1
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+1

(1 - 2) + (3 - 4) + (5 - 6) +.......= -1 + -1 + -1 + -1.......etc . for (2007 - 1) / 2 + 1 =-1 x 1004 terms =-1004

 Apr 21, 2020
 #2
avatar+20767 
+1

(1 - 2) + (3 - 4) + (5 - 6) + ... + (2003 - 2004) + (2005 - 2006) + 2007

=  -1 + -1 + -1 (for 1003 term) + 2007

=  -1003 + 2007  =  1004

 Apr 22, 2020

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