E550 -- De seriebus, in quibus producta ex binis terminis contiguis datam constituunt progressionem
(On series in which the product of two consecutive terms make a given progression)
Summary:
Given a sequence (what Euler calls a "progression") A, B, C, D, E, F, etc. Euler
wants to find another sequence (that Euler calls a "series") a, b, c, d, e, f, etc.
such that ab=A, bc=B, cd=C, de=D, ef=E, fg=F, etc. He studies a variety of properties
of the second series.
According to the records, it was presented to the St. Petersburg Academy on July 4, 1771.
Publication:
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Originally published in Opuscula Analytica 1, 1783, pp. 3-47.
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Opera Omnia: Series 1, Volume 15, pp. 338 - 382
Documents Available:
- Original Publication: E550
- German translation (Alexander Aycock and Arseny Skryagin): E550
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