Geometrical progressions, also known as geometric sequences, are a fundamental concept in mathematics. They are a sequence of numbers where each term is found by multiplying the previous term by a constant factor. Some synonyms for geometrical progressions include geometric sequences, geometric progressions, geometric series, and exponential progressions. These terms are often used interchangeably and describe the same mathematical concept. Geometric progressions are commonly used in algebra, calculus, and advanced mathematics to model real-world phenomena and analyze patterns. Understanding geometrical progressions is essential for students and professionals in various fields of science, engineering, and mathematics.