Ascending order

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A sequence $a$ is in ascending order if each $a(n)\leq a(n+1)$ (save the last in the case of a finite sequence). There should be at least one instance of $a(n)<a(n+1)$. For example, the sequence of Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, ...) is in ascending order.

See also: descending order, growth of sequences.