Integrated Sequence, Vector, Calculus and Probability Demo

①This GeoGebra example demonstrates an interactive mathematical experiment combining sequences, vectors, calculus, and probability concepts. ②Core mathematical ideas include sequence limits, definite integral approximation, vector operations, secant line slopes, and probability distributions, linking functions, sequences, vectors, and integrals. ③Construction highlights: using commands like Point, Vector, Textfield, and Sequence to create dynamic objects such as points a_n, vector u, and input box inputBox1, with sliders k and h controlling parameters, generating sequence terms, secant lines, integral approximations, and probability-related elements, involving objects A, B, G1, H1 and multiple auxiliary points. ④Suitable for high school to undergraduate mathematics education, helping students visualize convergence, integral approximation, vector geometry, and probabilistic connections, and serving as an inquiry-based learning tool.