Geometric Sequence • Common Ratio • Sum of n Terms
A second type of important sequence of numbers is the geometric sequence (or geometric progression). In a geometric sequence, each number after the first can be obtained from the preceding one by multiplying it by a fixed number, called the common ratio. We can express this definition in terms of the recursion formula
where is any term, is the preceding term, and r is the common ratio. One important application of geometric sequences is in computing compound interest on savings accounts. Other applications are found in areas such as biology and physics.
The sequence 2, 4, 8, 16, …, is a geometric ...