What is the value of the sum \(-1 + 2 - 3 + 4 - 5 + 6 - 7 +\dots+ 10,\!000?\)
-1 +2 =1
-3 +4 = 1
-5 + 6 = 1
.
-9999 + 10000= 1
= 10 000/2 = 5000
