Definition of Geometrical progression. Meaning of Geometrical progression. Synonyms of Geometrical progression

Here you will find one or more explanations in English for the word Geometrical progression. Also in the bottom left of the page several parts of wikipedia pages related to the word Geometrical progression and, of course, Geometrical progression synonyms and on the right images related to the word Geometrical progression.

Definition of Geometrical progression

Geometrical progression
Progression Pro*gres"sion, n. [L. progressio: cf. F. progression.] 1. The act of moving forward; a proceeding in a course; motion onward. 2. Course; passage; lapse or process of time. I hope, in a short progression, you will be wholly immerged in the delices and joys of religion. --Evelyn. 3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. 4. (Mus.) A regular succession of tones or chords; the movement of the parts in harmony; the order of the modulations in a piece from key to key. Arithmetical progression, a progression in which the terms increase or decrease by equal differences, as the numbers [lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the difference 2. Geometrical progression, a progression in which the terms increase or decrease by equal ratios, as the numbers [lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2] by a continual multiplication or division by 2. Harmonic progression, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as 1/2, 1/4, 1/6, 1/8, 1/10.

Meaning of Geometrical progression from wikipedia

- 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...
- and semirings. The geometric series is an infinite series derived from a special type of sequence called a geometric progression. This means that it...
- Geometric progression, a sequence of numbers such that the quotient of any two successive members of the sequence is a constant Harmonic progression (mathematics)...
- An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains...
- mathematics, an arithmetico-geometric sequence is the result of element-by-element multiplication of the elements of a geometric progression with the corresponding...
- a right triangle whose sides are in geometric progression. If the sides are formed from the geometric progression a, ar, ar2 then its common ratio r is...
- equation applies to systems of pairwise tangent spheres or hyperspheres. Geometrical problems involving tangent circles have been pondered for millennia....
- the Horus eye fractions shows some (rudimentary) knowledge of geometrical progression. One unit was written as 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 +...
- intervals, it is also called geometric growth or geometric decay since the function values form a geometric progression. The formula for exponential growth...
- divide evenly, or when identical values straddle the threshold. A Geometric progression rule divides the range of values so the ratio of thresholds is constant...