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Reverted edits by Taracka (Talk) to last version by CPalmer
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A '''geometric progression''' is a [[sequence]] of numbers that has a constant [[ratio]] of each term to its preceding term. For example, this is a geometric progression: 2, 4, 8, 16, 32.
In finance, [[compound interest]] is an example of a geometric progression. An example would be a bank account that earns an API (annual percentage interest) rate of 5% per year. Every year, the number of dollars in the account is multiplied by the factor 1.05. That is about the same as doubling every fifteen years.
The sequence 2, 4, 8, 16, 32 is simply the "powers of two:" two, two squared, two cubed, two to the fourth power, and so on. This can be written using [[exponent]]s this way:
::2<sup>1</sup>, 2<sup>2</sup>, 2<sup>3</sup>, 2<sup>4</sup>, 2<sup>5</sup>
This is why geometric progressions are sometimes called [[exponential growth]].
==Geometric series==
==Geometric series==