(2+4+6.+2000)-(1+3+5...+1999)

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(2+4+6.+2000)-(1+3+5...+1999)(2+4+6.+2000)-(1+3+5...+1999)(2+4+6.+2000)-(1+3+5...+1999)(2+4+6.+2000)

(2+4+6.+2000)-(1+3+5...+1999)
(2+4+6.+2000)-(1+3+5...+1999)

(2+4+6.+2000)-(1+3+5...+1999)
(2+4+6.+2000)-(1+3+5...+1999)=(2-1)+(4-3)+.(2000-1999)=1*1000=1000