Geometric Progression (GP)

A Geometric Progression is a sequence where each term after the first is obtained by multiplying the previous term by a fixed, non-zero number called the common ratio ($r$). This simple rule of constant multiplication creates a pattern that grows or shrinks very quickly — think of the doubling of a chessboard's grains of rice or the decay of a radioactive substance. The key idea is that the ratio of any two consecutive terms is always the …