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What is the value of the sum \(-1 + 2 - 3 + 4 - 5 + 6 - 7 +\dots+ 10,\!000?\)

 Mar 13, 2020
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+1

-1 +2   =1

 -3 +4  = 1

   -5 + 6 = 1

    .

    .

    .

       -9999 + 10000= 1

 

= 10 000/2 = 5000

 Mar 14, 2020

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