geometric progression

Also known as geometric sequence

sequence of numbers where each term is found by multiplying the previous one by a fixed, non-zero number

AI overview

A geometric progression is a sequence of numbers where each number is created by multiplying the previous number by the same fixed amount. This type of sequence appears frequently in real-world situations like population growth, radioactive decay, and financial calculations, making it useful for understanding how things change when they grow or shrink by a constant percentage.

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Image: Geometric sequences.svg

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Article

Diagram illustrating three basic geometric sequences of the pattern 1(r) up to 6 iterations deep. The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively.

A geometric progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with a common ratio of 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with a common ratio of 1/2.