Arithmetic Sequence Gaps Visualization (Version B)

① This GeoGebra example dynamically visualizes the gaps between consecutive terms of an arithmetic sequence, using randomly generated polygons and point arrays to illustrate the recursive pattern. ② Core mathematical concepts include the general term formula of arithmetic sequences, common difference, term-to-term differences, and the connection between sequences and linear functions, along with elementary ideas of combinatorics and piecewise functions. ③ Construction highlights: Random and RandomElement commands generate random initial terms and common differences; Polygon commands create multiple polygons (poly1, poly2) as visual carriers; a button (button1) triggers random updates; objects include points A-L, segments a_1 etc., and texts text1-text8 for labeling values and explanations. ④ Suitable for middle and high school mathematics (grades 8-12) in teaching arithmetic sequences, exploring properties of common differences, or as an interactive practice tool to deepen understanding of how the common difference affects the spacing between terms.