The Louvre Museum as seen through the Louvre Pyramid glass in Paris, France. From the National Geographic book The 10 Best of Everything. Smithsonian Institution, Washington, D.C. The Smithsonian is the worldâs largest research and museum complex, with 19 museums and galleries, the National Zoological Park, and various research stations.
1 An arithmetic sequence is a sequence with the difference between two consecutive terms constant. 2  The difference is called the common difference. 3  A geometric sequence is a sequence with the ratio between two consecutive terms constant. 4  This ratio is called the common ratio.
Wiktionary (0.00 / 0 votes) Rate this definition: 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.he sum of the terms of a geometric progression, or of an initial segment of a geometric progression, is known as a geometric series. Thus, the general form of a geometric sequence is and that of a geometric series is where r â  0 is the common ratio and a is a scale factor, equal to the sequence's start value.