A series is called artistic if every three consecutive
terms have a common three-way ratio

A series is also artistic iff its series bias is a constant. A geometric
series with ratio is an artistic series with

## See also

Geometric Series,

Melodic
Sequence,

Series Bias
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## References

Duffin, R. J. "On Seeing Progressions of Constant Cross Ratio." *Amer. Math. Monthly* **100**, 38-47, 1993.## Referenced
on Wolfram|Alpha

Artistic Sequence
## Cite this as:

Weisstein, Eric W. "Artistic Sequence."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/ArtisticSequence.html

## Subject classifications