Sequence from Two Terms: Interactive Random Generation

This GeoGebra example demonstrates how to generate a dynamic sequence from two initial terms using random functions and conditional logic, with simultaneous graphical and numerical output. The core mathematical concepts include recursive sequence generation, stochastic processes (Poisson distribution), derivatives, trigonometric functions, and the Pythagorean theorem as a geometric backdrop. The construction uses the Random command to produce random values, If to set generation rules, and FractionText to display results as fractions; key objects include a button (button1), sliders (n1, n2, n4, n5), and multiple text labels (text series) for parameter control and output display. Suitable for high school to university students, this example helps learners understand random sequence construction, probability distributions, and the integration of functions with geometry, serving as an engaging tool for mathematical experimentation and introductory programming logic.