A sequence is an ordered list of numbers that follow a specific pattern or rule. For example, the sequence 1, 2, 3, 4, 5 increases by 1 each time. Sequences can be finite, with a limited number of terms, or infinite, continuing indefinitely. Common types of sequences include arithmetic sequences, where each term is a fixed amount larger than the previous one, and geometric sequences, where each term is multiplied by a constant. A series is the sum of the terms of a sequence. For instance, the series of the sequence 1, 2, 3, 4, 5 is 1 + 2 + 3 + 4 + 5 = 15. Series can also be finite or infinite. The study of series includes important concepts like convergence, which determines whether an infinite series approaches a specific value, and divergence, where the sum does not settle at a particular