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Line 1: − + − − 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]]. −
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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.
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==Geometric series==
==Geometric series==