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Sequences
for which the terms belong to a totally ordered set (or linearly ordered set) and such that
![{\displaystyle a(n+1)\geq a(n),\quad i_{\rm {min}}\leq n<i_{\rm {max}},\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/13c0064b3ee2fa03f9455969c038b7f999ed1f6a)
where
![{\displaystyle \exists k\,|\,a(k+1)>a(k),\quad i_{\rm {min}}\leq k<i_{\rm {max}}.\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/402582b034ea4af47228e7f07624266d23cf1782)
Nonstrictly increasing sequences
Sequences
for which the terms belong to a totally ordered set (or linearly ordered set) and such that
![{\displaystyle a(n+1)\geq a(n),\quad i_{\rm {min}}\leq n<i_{\rm {max}}.\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/874eb3e975af23b2c9a1d947b652314e1c5d1d63)
Strictly increasing sequences
Sequences
for which the terms belong to a totally ordered set (or linearly ordered set) and such that
![{\displaystyle a(n+1)>a(n),\quad i_{\rm {min}}\leq n<i_{\rm {max}}.\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/61a4a7f7dce6777ab039ed40cebd4e876bb3f4a7)
See also