Graphing Sequences and Series

① This GeoGebra example dynamically visualizes sequences and their partial sums, turning abstract sequence terms and series summation into intuitive geometric representations such as point plots and area accumulation. ② Core mathematical concepts include sequences, series, natural numbers, the relationship between circle area and parallelogram area, and the correspondence between sequence terms and geometric shapes. ③ Construction highlights: The Sequence command is used to generate sequence terms (objects N, l1, l2, l3, l4, l5), and geometric objects like points, segments, or area figures are constructed to illustrate recurrence and summation, possibly comparing circle and parallelogram areas to visualize convergence or divergence. ④ Suitable for high school to early college students, this example aids in understanding sequence limits, series summation, and geometric intuition, and serves as a classroom demonstration or self-study exploration tool.