the common ratio of geometric progression

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• Geometric progression — In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called the common ratio . For example, the… …   Wikipedia

• geometric progression — noun A sequence in which each term except the first is obtained from the previous by multiplying it by a constant value, known as the common ratio of the geometric progression. See Also: arithmetic progression …   Wiktionary

• common ratio — noun Date: circa 1771 the ratio of each term of a geometric progression to the term preceding it …   New Collegiate Dictionary

• common ratio — noun : the ratio of each term of a geometrical progression to the term preceding it * * * Math. See geometric ratio. [1870 75] …   Useful english dictionary

• Geometric series — In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series:frac{1}{2} ,+, frac{1}{4} ,+, frac{1}{8} ,+, frac{1}{16} ,+, cdotsis geometric, because each term is equal to half of the… …   Wikipedia

• geometric ratio — Math. the ratio of consecutive terms in a geometric progression. Also called common ratio. [1800 10] * * * geometric ratio, the constant ratio of a term of a geometric progression to the preceding term …   Useful english dictionary

• geometric ratio — Math. the ratio of consecutive terms in a geometric progression. Also called common ratio. [1800 10] * * * …   Universalium

• Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …   Wikipedia

• List of works designed with golden ratio — Works designed with the golden ratio are works of human design that are proportioned according to the golden ratio, an irrational number that is approximately 1.618; it is often denoted by the Greek letter φ (phi).Early historyIt is claimed that… …   Wikipedia

• motion picture, history of the — Introduction       history of the medium from the 19th century to the present. Early years, 1830–1910 Origins       The illusion of motion pictures is based on the optical phenomena known as persistence of vision and the phi phenomenon. The first …   Universalium

• Invalid proof — In mathematics, there are a variety of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle. These fallacies are normally regarded as mere curiosities, but can be used… …   Wikipedia