What is a definition of decreasing pattern, increasing pattern and repeating pattern?

A decreasing pattern refers to a sequence of numbers or objects that consistently decrease or become smaller as you move along the sequence. For example, a decreasing pattern could be the sequence 10, 8, 6, 4, 2.

An increasing pattern, on the other hand, is a sequence of numbers or objects that consistently increase or become larger as you move along the sequence. For instance, an increasing pattern could be the sequence 2, 4, 6, 8, 10.

A repeating pattern, also known as a repetitive pattern, is a sequence that repeats itself or follows a predictable cycle. This means that after a certain number of elements, the pattern begins to repeat. For example, a repeating pattern could be a sequence of colors like red, blue, yellow, red, blue, yellow, and so on.

Understanding these definitions is essential, but it's also helpful to know how to identify and continue these patterns. To determine whether a sequence follows a decreasing or increasing pattern, you need to observe how the numbers or objects change from one term to the next. If the numbers consistently become smaller or larger, it indicates either a decreasing or increasing pattern, respectively.

To identify a repeating pattern, you can look for a cycle in the sequence. This means that some portion of the sequence repeats itself after a certain number of terms. By recognizing this repetition, you can predict the next terms in the sequence.

In many cases, it's useful to identify the pattern and its rules to continue the sequence or create a visual representation of the pattern, such as a graph or chart. Patterns are prevalent in various fields, including mathematics, science, art, and even music.