What is the definition for decreasing pattern in mathematics?

Answer 1

This depends on the context of "decreasing".

If the patter is decreasing, then the preceding term is greater than or equal to the next term. In simplest form, an ≥ an + 1. This pattern is also called monotonically decreasing pattern.

For instance:

4, 3, 3, 2, 2, 1, 1, 0, -1, -2....

Each preceding term is ≥ next term!

If the pattern is strictly decreasing, then the preceding term is greater than the next term. In simplest form, an > an + 1. This can be related to

For instance:

4, 3, 2, 1, 0, -1, -2...

This is obviously the decreasing pattern since each term is decreased by 1.