a sequence in which each successive term is obtained from its predecessor by multiplying by a fixed number called the ratio
a sequence in which the ratio of any term and the next term is constant
a sequence such that each successive term is obtained from the previous term by multiplying by a fixed number called a common ratio
a sequence with the ratio between two consecutive terms constant
A sequence with a constant ratio between two consecutive terms (e.g., 1, 2, 4, 8, 16,... is a geometric sequence with a ratio of 2).
a sequence of numbers, called terms, in which each successive term is determined by multiplying the previous term by a common factor. For example, 1, 2, 4, 8, 16,…. is a geometric sequence with a first term of 1 and a common factor of 2.
A set where each element is a multiple of the previous element. See also sequence
(progression) An ordered list of numbers that has a common ratio between consecutive terms, e.g., 2, 6, 18, 54....(H)
For each positive integer n, and for each real number r, ¹ 0, the sequence with the first term a, and nth term a. is a geometric sequence if and only if a. = a1r^n-1.
A sequence in which the ratio of consecutive terms is a constant.
A sequence in which there is a common ratio between successive terms. Each successive term of a geometric sequence is found by multiplying the preceding term by the common ratio. For example, in the sequence {1, 3, 9, 27, 81, . . .} the common ratio is 3.
