3A. Compute the simplified numerical value of the expression: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5

Question

3 years ago

11

+ 3 + 1).

1 answer:

Sunny_sXe [5.5K] · Answer 1 · 2022-05-18T08:53:26+03:00

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