What is a explicit pattern?

In mathematics, an explicit pattern is a pattern in which each term is defined by a formula or equation. For example, the pattern 2, 4, 6, 8, 10, ... can be defined by the formula y=2x, where x represents the position of the term in the sequence. Similarly, the pattern 3, 6, 9, 12, 15, ... can be defined by the formula y=3x.

Explicit patterns are often contrasted with implicit patterns, in which the terms are not defined by a formula but rather by a set of rules. For example, the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, ...) is an implicit pattern, as each term is defined as the sum of the previous two terms.