File:Sum1234Plain.svg

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Summary

The divergent series 1 + 2 + 3 + 4 + ⋯. The first few partial sums of the series are 1, 3, 6, and 10, which appear as the height of the first few stair-steps. The terms 1, 2, 3, 4, and a corner of the term 5 are shown in alternating gray and yellow, to emphasize their individual contributions to the partial sums. The rectangular regions are comparable to the smooth regions in the companion diagram Sum1234Smoothed.svg.

Copyright status:

Creative Commons Attribution-Share Alike 3.0 Unported license.

Source:

https://commons.wikimedia.org/wiki/User:Melchoir

File history

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Date/TimeThumbnailDimensionsUserComment
current20:54, 28 October 2017Thumbnail for version as of 20:54, 28 October 2017600 × 600 (3 KB)Thales (talk | contribs)The divergent series 1 + 2 + 3 + 4 + ⋯. The first few partial sums of the series are 1, 3, 6, and 10, which appear as the height of the first few stair-steps. The terms 1, 2, 3, 4, and a corner of the term 5 are shown in alternating gray and yell...
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