a sequence of terms in which the ratio between any two successive terms is the same, as the progression 1, 3, 9, 27, 81 or 144, 12, 1, 1/12, 1/144.
a sequence of numbers, each of which differs from the succeeding one by a constant ratio, as 1, 2, 4, 8, … Compare arithmetic progression
A sequence of numbers in which each number is multiplied by the same factor to obtain the next number in the sequence. In a geometric progression, the ratio of any two adjacent numbers is the same. An example is 5, 25, 125, 625, … , where each number is multiplied by 5 to obtain the following number, and the ratio of any number to the next number is always 1 to 5. Compare arithmetic progression.
In mathematics, a sequence of numbers in which each number is obtained from the previous one by multiplying by a constant. For example, the sequence 1, 2, 4, 8, 16, 32 … (in which each number is multiplied by 2 to get the next one) is a geometric progression.
Note: Many processes involving growth and spreading, such as population increases, can be described as geometric progressions.
noun, Mathematics. 1. the ratio of consecutive terms in a geometric progression.
[jee-uh-me-triks] /ˌdʒi əˈmɛ trɪks/ noun 1. (used with a plural verb) the characteristics or features of a thing: the geometrics of a building design. [jee-uh-me-trik] /ˌdʒi əˈmɛ trɪk/ adjective, Also, geometrical 1. of or relating to geometry or to the principles of geometry. 2. resembling or employing the simple rectilinear or curvilinear lines or figures […]
noun, Mathematics. 1. an infinite series of the form, c + cx + cx 2 + cx 3 + …, where c and x are real numbers. 2. . noun 1. a geometric progression written as a sum, as in 1 + 2 + 4 + 8
[jee-om-i-trid] /dʒiˈɒm ɪ trɪd/ adjective 1. belonging or pertaining to the family Geometridae, comprising slender-bodied, broad-winged moths, the larvae of which are called measuring worms. noun 2. a geometrid moth. /dʒɪˈɒmɪtrɪd/ noun 1. any moth of the family Geometridae, the larvae of which are called measuring worms, inchworms, or loopers adjective 2. of, relating to, […]