Exploring Ratios in a Geometric Sequence Graph

This example demonstrates how to visualize and explore the pattern of a geometric sequence by focusing on the ratio between terms and showing how key quantities shape the resulting graph. The main mathematical ideas include geometric sequences (Geometric Sequence), the adjacent-term ratio (ratio), and the emergence of curve behavior (often comparable to hyperbola-like relationships when parameterized). Construction-wise, it leverages GeoGebra commands such as Corner, Max, If, and Sequence to generate sequence data, apply conditional logic, and compute/track extrema. It also uses objects like ratio, dims, xmin, xmax, ymin, ymax to control plotting ranges and layout; additionally, max, text1, text2, and l1 support labeling and displaying results tied to the computed ratio and constraints. Suitable for upper secondary and introductory college use in teaching sequences, function graphing, and computational verification.