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ikadub [295]
3 years ago
11

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

+ 3 + 1).
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

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

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Step-by-step explanation:

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