geometric progression


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geometric progression:

see progressionprogression,
in mathematics, sequence of quantities, called terms, in which the relationship between consecutive terms is the same. An arithmetic progression is a sequence in which each term is derived from the preceding one by adding a given number, d,
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.

geometric progression

[¦jē·ə¦me·trik prə′gresh·ən]
(mathematics)
A sequence which has the form a, ar, ar 2, ar 3, … .

geometric progression

a sequence of numbers, each of which differs from the succeeding one by a constant ratio, as 1, 2, 4, 8, …
References in periodicals archive ?
On the other hand, considering this network as a closed network with two nodes, the method proposed below for calculating the normalization constants in the form of geometric progressions may be used.
From (3) and (5) it is understood that the sequence [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] is the geometric progression in which the initial term is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] and the common ratio is 2 .
From (5), (6) and the properties of the geometric progression we know that the theorem is holds for the Smarandache 4n-digital subsequence.
This situation is similar to the development of SCSI, where the transition has gone from five megabytes per second to 160MB/sec utilizing a geometric progression. Initial disks, which were capable of transferring data at 1MB/sec, were adequately supported by the initial 5MB/sec SCSI-1 interface.
"If a marketer has finally learned there is a geometric progression of individuals who say they will use a product ...
The difference, argued Dewitt, is that Ponzi's swindle was a geometric progression that "works only so long as there is an ever-increasing number of new investors coming into the scheme." Social Security, by contrast, is a simple arithmetic progression that "is sustainable forever, provided that the number of new people entering the system maintains a rough balance with the number of people collecting from the system."
Computer-chip speed has been doubling every 18 months, that's a geometric progression. The advent of tractors, new seeds, mass irrigation and fertilization send food production rocketing."
FOR THOSE of us who have been following issues of board structure and board practices for the past 20 years, the information available on these subjects has been increasing in a geometric progression that now challenges our ability to keep pace.
An interesting feature of this book is the last page, which shows a visual representation of this geometric progression; readers see a chessboard that reflects the initial measure of teaspoons, which then must be converted to bowls, then wheelbarrows, festival halls, palaces, and so on.
In 1798 he published a book, Essay on Population, in which he pointed out that population tended to increase in geometric progression (2, 4, 8, 16...) while the food supply tended to increase in arithmetic progression (2, 3, 4, 5...).
At Idaho Emergency Physicians (IEP), we perform work on shifts that are scheduled in a geometric progression through the month such that any one individual is always passing the same individuals on changes of shift.