Arithmetic Sequence: Geometric Visualization and Summation

① This GeoGebra example dynamically visualizes the terms, common difference, and partial sums of an arithmetic sequence, translating abstract formulas into intuitive geometric representations. ② Core mathematical concepts include the general term formula, common difference, number of terms, sum of the first n terms, and the connection between sequences and geometric shapes such as parallelograms and polygons. ③ Construction highlights: using commands like Segment, Sequence, Element, Corner, and Polygon to build segments and shapes corresponding to sequence terms; sliders (e.g., n and d) control the number of terms and difference, updating points and summation areas in real time; text objects display formulas and numerical values. ④ Suitable for middle and high school mathematics (grades 8–12) teaching of sequences, as well as pre-calculus or introductory mathematical modeling, helping learners grasp linear growth and the geometric derivation of summation formulas.