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Arithmetic Sequence Gaps

Arithmetic Sequence Gaps
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2017-04-05 14:41
FunctionSequenceCoordinate Geometry
This example demonstrates the gaps in an arithmetic sequence. Key mathematical concepts include the definition and properties of arithmetic sequences. Using GeoGebra commands such as Random, RandomElement, and Polygon, the construction of the arithmetic sequence is illustrated. Suitable for students at the junior high school level and above to learn about arithmetic sequences.

GeoGebra Commands & Parameters

  1. Random(-20, 20) → a
  2. RandomElement(list1) → d
  3. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  4. Polygon(E, F, G, H) → poly2, e_1, f_1, g_1, h_1
  5. Polygon(I, J, K, L) → poly3, i_1, j, k, l
  6. Polygon(M, N, O, P) → poly4, m, n, o, p
  7. Polygon(Q, R, S, T) → poly5, q, r, s, t
  8. Polygon(U, V, W, Z) → poly6, u, v, w, z_1
  9. Polygon(A_1, B_1, C_1, D_1) → poly7, a_2, b_2, c_2, d_2

AI Drawing Prompt Reference

Draw a figure showing the gaps in an arithmetic sequence, including multiple polygons representing each term of the sequence, determined by randomly generated first term and common difference, arranged in order to illustrate the increasing or decreasing pattern of the sequence, suitable for junior high school students and above to learn about arithmetic sequences.
The prompt above was compiled from the original drawing commands and is for reference only.