The common ratio of the geometric sequence 625, 125, 25, 5 is 1/5.
This is a geometric sequence because each term is obtained by multiplying the previous term by a constant value, which is the common ratio. To find the common ratio, divide any term by the preceding term.
- Example: 125 / 625 = 1/5
- Example: 25 / 125 = 1/5
- Example: 5 / 25 = 1/5
The common ratio remains consistent throughout the sequence, confirming it's a geometric progression. Many online resources and mathematical explanations confirm this result. [See Brainly, Cuemath, Mathway, and Quora links provided in references for further examples and explanations](https://brainly.com/question/3628967, https://www.cuemath.com/questions/what-is-the-common-ratio-of-the-geometric-sequence-below-625-125-25-5-1/, https://www.mathway.com/popular-problems/Algebra/967866, https://www.quora.com/What-is-the-ratio-of-625-125-and-25).
