Answer:
<em>The value of the expression is 2021</em>
Step-by-step explanation:
<u>Compute the numerical value of the expression</u>
(4042 + 4040 + 4038 + … + 6 + 4 + 2) - (4041 + 4039 + 4037 + … + 5 + 3 + 1).
Rearranging the positive and negative terms:
(4042-4041)+(4040-4039)+(4038-4037)+...(2-1)
All the partial subtractions are 1:
1 + 1 + 1 + .... + 1
This sequence is repeated 4042/2=2021 times, thus the value of the expression is 2021
