Number Pyramids: Interactive Exploration of Sequences, Linear Equations, and Geo

① This example presents an interactive number pyramid that visually demonstrates how sequence summation, linear equation solving, and geometric constructions (triangles, squares) can be combined into a single exploratory tool. ② Core mathematical concepts include sequences and series (number patterns in pyramid layers), linear equations (determining unknown entries from given ones), and geometric properties of scalene triangles and squares, with elements of differential calculus via orthogonal lines. ③ Construction highlights: using GeoGebra commands such as Intersect, Point, Circle, and OrthogonalLine, the construction creates multiple points (A, B, C, D...), a circle c_1, lines d, e, f, g, h, i, j, k, l, and text objects (text1 series) to display dynamic values. ④ This is ideal for high school to early college students to grasp the interplay between sequences and equations, and serves as a classroom demonstration for geometric-algebraic modeling.