# ascending order

A sequence or arbitrary ordered set or one-dimensional array of numbers, $a$, is said to be in if each $a_{i}\leq a_{i+1}$. For example, the Fibonacci sequence is in ascending order: 1, 1, 2, 3, 5, 8, 13, 21 … The Perrin sequence is not in ascending order: 3, 0, 2, 3, 2, 5, 5, 7, 10, 12, 17 …

In a trivial sense, the sequence of values of the sign function is in ascending order: … -1, -1, -1, 0, 1, 1, 1… When each $a_{i} in the sequence, set or array, then it can be said to be in strictly ascending order.

Title ascending order AscendingOrder 2013-03-22 16:06:39 2013-03-22 16:06:39 CompositeFan (12809) CompositeFan (12809) 7 CompositeFan (12809) Definition msc 06A99 DescendingOrder strictly ascending order