Real numbers/Sequence/Increasing and decreasing/Definition

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Increasing sequence

A real sequence is called increasing, if holds for all , and strictly increasing, if holds for all .

A sequence is called decreasing if holds for all Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/en.wikiversity.org/v1/":): {\displaystyle {{}} n \in \N} , and strictly decreasing, if holds for all .