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1 − 2 + 3 − 4 + · · ·

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1 − 2 + 3 − 4 + · · ·

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Also known as 1 − 2 + 3 −4...

infinite series

~18 min read

Encyclopedic overview

The first 15,000 partial sums of 0 + 1 − 2 + 3 − 4 + ... The graph is situated with positive integers to the right and negative integers to the left.

In mathematics, 1 − 2 + 3 − 4 + ··· is an infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as

Excerpted from Wikipedia’s “1 − 2 + 3 − 4 + · · ·” article, available under the CC BY-SA 4.0 licence.

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