infinite sequences

An infinite sequence is an ordered list of numbers that continues endlessly, with no final term. Imagine counting starting from 1: 1, 2, 3, 4, and so on—this list never stops. Each number in the sequence has a specific position or index. Infinite sequences can follow patterns (like adding 2 each time) or be irregular. They are important in mathematics and science because they help model processes that go on forever, such as time or growth, and study properties like limits and convergence.