Geometric progression

A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 4, 8, 16, each term is multiplied by 2 to get the next. This pattern results in exponential growth or decay, depending on whether the ratio is greater than or less than one. Geometric progressions are common in fields like finance, biology, and physics, where quantities change proportionally over time.