English Title

On series in which the product of two consecutive terms make a given progression

Authors

Leonhard Euler

Enestrom Number

550

Fuss Index

160

Original Language

Latin

Published as

Collection article

Published Date

1783

Written Date

1771

Content Summary

Given a sequence (what Euler calls a "progression") A, B, C, D, E, F, etc., Euler wants to find another sequence (which 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 sequence.

Original Source Citation

Opuscula analytica, Volume 1, pp. 3-47.

Opera Omnia Citation

Series 1, Volume 15, pp.338-382.

Record Created

2018-09-25

Included in

Mathematics Commons

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