A geometric progression is a sequence of numbers where each term, after the first, is obtained by multiplying the preceding one by a constant factor. This common ratio determines the progression’s pattern. In simpler terms, the sequence exhibits exponential growth or decay. An example is a sequence like 2, 6, 18, 54…, where each term is three times the previous one. Geometric progressions are prevalent in areas such as finance (compound interest), biology (population growth), and computer science (algorithms). Understanding geometric progressions is essential for recognizing and analyzing patterns in various real-world scenarios.