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.
Geometric sequences are created by multiplying the prior term by a constant value, called the common ratio. This common multiplication occurring at each step can be viewed as a growth factor, similar to what we have seen in exponential growth. 3, 9, 27, 81, 243, ... Geometric sequences demonstrate exponential growth.