Jawaban:
We can group the terms that are consecutive integers with opposite signs, as follows:
(2021 - 2022) + (2019 + 2018) + (-2017 + 2016) + (2015 - 2014) + ... + (-2 + 1)
The terms inside parentheses can be simplified as follows:
- 2021 - 2022 = -1
- 2019 + 2018 = 4037
- -2017 + 2016 = -1
- 2015 - 2014 = 1
So the expression becomes:
-1 + 4037 - 1 + 1 - 1 + 1 - 1 + ... - 1
There are 1010 pairs of opposite terms, plus an additional -1 at the end. Therefore, the expression simplifies to:
(-1) * 1010 - 1 = -1021
Therefore, the value of the expression is -1021.
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
Jawaban:
We can group the terms that are consecutive integers with opposite signs, as follows:
(2021 - 2022) + (2019 + 2018) + (-2017 + 2016) + (2015 - 2014) + ... + (-2 + 1)
The terms inside parentheses can be simplified as follows:
- 2021 - 2022 = -1
- 2019 + 2018 = 4037
- -2017 + 2016 = -1
- 2015 - 2014 = 1
So the expression becomes:
-1 + 4037 - 1 + 1 - 1 + 1 - 1 + ... - 1
There are 1010 pairs of opposite terms, plus an additional -1 at the end. Therefore, the expression simplifies to:
(-1) * 1010 - 1 = -1021
Therefore, the value of the expression is -1021.