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)
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.
Originally published in Opuscula Analytica 1, 1783, pp. 3-47.
Opera Omnia: Series 1, Volume 15, pp. 338 - 382
- Original Publication: E550
- German translation (Alexander Aycock and Arseny Skryagin): E550
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