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Series Bias


The bias of a series is defined as

 Q[a_i,a_(i+1),a_(i+2)]=(a_ia_(i+2)-a_(i+1)^2)/(a_ia_(i+1)a_(i+2)).

A series is geometric iff Q=0. A series is artistic iff the bias is constant.


See also

Artistic Sequence, Geometric Sequence

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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

Series Bias

Cite this as:

Weisstein, Eric W. "Series Bias." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SeriesBias.html

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