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.
Example 1: Find the first five terms and the common ratio of the geometric sequence . Since a geometric sequence is a sequence, you find the terms exactly the same way that you do a sequence. n is our term number and we plug the term number into the function to find the value of the term. If you need a review on sequences, feel free to go to Tutorial 54A: Sequences.