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What is the sum of the arithmetic series below?-110 + -100 + -90 + -80 + ... + -10 + 0 + 10 + ... + 80 + 90 + 100 + 110?

What is the sum of the arithmetic series below?-110 + -100 + -90 + -80 + ... + -10 + 0 + 10 + ... + 80 + 90 + 100 + 110?
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2 votes
What is the sum of the arithmetic series below?-110 + -100 + -90 + -80 + ... + -10 + 0 + 10 + ... + 80 + 90 + 100 + 110?

User Jemimah
by
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2 Answers

6 votes
The offered sum can be divided in pais: (-110) and 110; (-100) and 100; (-90) and 90, etc... The sum of each pair is 0, final result also is 0 (notice: number '0' is out of pairs).
User Daniele Baggio
by
8.0k points
7 votes
The sum of the series is 0
User Lppier
by
8.7k points
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