Question

Compute the simplified numerial valure of the expression
(4042+4040+4038...+6+4+2)-

Answer 1

2021

Explanation:

Compute the numerical value of the expression

(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