A decreasing sequence, also called a nonincreasing sequence, is a sequence satisfying for every index . It is strictly decreasing if for every index . Some authors use "decreasing" for the strict condition and "nonincreasing" for the weak condition (Hunter 2014, p. 47). For example, the sequence is strictly decreasing, while a constant sequence is nonincreasing with equality at each step.

See also

Increasing Sequence, Sequence

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References

Hunter, J. K. An Introduction to Real Analysis. Davis, CA: University of California, 2014. https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/intro_analysis.pdf.

Referenced on Wolfram|Alpha

Decreasing Sequence

Cite this as:

Weisstein, Eric W. "Decreasing Sequence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DecreasingSequence.html

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