定远会被规划到合肥吗:1+(-3)+5+(-7)+....+2001+(-2003)+2005=?我要过程

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原式=(1-3)+(5-7)+(9-11)+......+(2001-2003)+2005 (其中有501个括号,即有501组)
=(-2)*501+2005
= -1002+2005
=1003

1 + (-3) = -2 ..................................4*0 + 1
5 + (-7) = -2 ..................................4*1 + 1
9 + (-11) = -2 ..................................4*2 + 1

......
2001 + (-2003) = -2 ............................ 4*500 + 1

-2*501 = -1002

-1002 + 2005 = 1003

看成2个等差数列也可以.
1,5,9……2001,2005
-3,-7……-1999,-2003
然后根据公式做出来