Monotonic Sequence -- from Wolfram MathWorld

A sequence {a_n} such that either (1) a_(i+1)>=a_i for every i>=1 , or (2) a_(i+1)<=a_i for every i>=1 . See also. Monotone Convergence Theorem ... Algebra AppliedMathematics CalculusandAnalysis DiscreteMathematics FoundationsofMathematics Geometry HistoryandTerminology NumberTheory ProbabilityandStatistics RecreationalMathematics Topology AlphabeticalIndex NewinMathWorld CalculusandAnalysis Calculus IncreasingandDecreasing MonotonicSequence Asequencesuchthat either(1)forevery,or(2) forevery. SeealsoMonotoneConvergence Theorem ExplorewithWolfram|Alpha Morethingstotry: battleofthesexes expand(x^2+1)(x^2-1)(x+1)^3 (n,k)-Turangraphedgecount Citethisas: Weisstein,EricW."MonotonicSequence." FromMathWorld--AWolframWebResource.https://mathworld.wolfram.com/MonotonicSequence.html Subjectclassifications CalculusandAnalysis Calculus IncreasingandDecreasing Created,developedandnurturedbyEricWeissteinatWolframResearch