Arithmetic Sequence Calculator (Interactive)

① This GeoGebra example demonstrates an interactive arithmetic sequence calculator, allowing users to input the first term, common difference, and number of terms to instantly see the sequence values and their geometric representation. ② The core mathematical concept is the arithmetic sequence, including the general term formula a_n = a_1 + (n-1)d and the sum formula S_n = n/2 * (2a_1 + (n-1)d), visualized through discrete points and polygonal shapes. ③ Construction details: The applet uses Textfield commands to create input boxes (inputBox1 through inputBox6), Polygon and Segment to build geometric figures (e.g., poly1, segments c, d, a, b) that represent the sequence terms, and text objects (text2, text4, text5) to display computed results dynamically. Key objects include points A1, A2, B2, B1, A4, A5, B3, C3, etc., which are connected to show the step-like or point-plot pattern of the sequence. ④ This is suitable for middle school to high school mathematics education, particularly for teaching arithmetic sequences, and can be used by teachers for classroom demonstrations or by students for self-paced exploration of linear growth and summation formulas.