sequence

In mathematics, a sequence is a set of elements ordered in a specific way, allowing them to be labeled with positive integers. This ordering means that elements follow one another in a continuous progression.1

Sequences can exhibit convergence, meaning they approach a specific limit as the number of terms increases. For instance, the sequence 1, 1/2, 1/3, 1/4, ... converges to zero. Conversely, some sequences, like the harmonic series (1 + 1/2 + 1/3 + 1/4 + ...), do not converge and tend towards infinity.23

A notable example is the Fibonacci sequence, where each number is the sum of the two preceding ones (e.g., 1, 1, 2, 3, 5, 8...). This sequence has appeared in various natural phenomena.4