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Completing a Number Series

Completing a Number Series
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2020-03-10 20:20
SequenceCoordinate GeometryGeometric Construction
This example demonstrates how to interactively complete a number series using geometric and analytical tools. Key math concepts include sequences, coordinate geometry, and geometric constructions. Construction highlights involve commands like CircumcircleArc, Random, Textfield, If, Polygon, Circle, Point, Segment, and Line. Suitable for high school mathematics education, illustrating the integration of sequence patterns and geometric constructions.

GeoGebra Commands & Parameters

  1. CircumcircleArc(A, B, C) → c
  2. Random(18, 85) → l_1
  3. Textfield(e_1) → P1
  4. If(u ≟ 1 ∧ d_1 ≠ A1 ∨ u ≟ 2 ∧ d_1 ≠ A2 ∨ u ≟ 3 ∧ d_1 ≠ A3 ∨ u ≟ 4 ∧ d_1 ≠ A4 ∨ u ≟ 5 ∧ d_1 ≠ A5, 1, 0) → A7
  5. Polygon(I, J, K, L) → poly21, i_6, j_6, k_6, l_6
  6. Circle(M, 0.3) → c_6
  7. Point(c_6) → N
  8. Point(c_6) → O
  9. Point(c_6) → P
  10. Point(c_6) → Q
  11. Polygon(I_1, J_1, K_1, L_1) → poly23, i_7, j_7, k_7, l_7
  12. Circle(R, 0.3) → c_7
  13. Point(c_7) → S
  14. Point(c_7) → T
  15. Point(c_7) → U
  16. Point(c_7) → V
  17. Segment(W, Z) → p_7
  18. Segment(A_1, B_1) → q_7
  19. If(-5 < a < 11.75, a, If[11.75 < a < 22, 11.75, 11.75 + a - 22]) → t
  20. If(-5 < a < 11.75, Vitesse, If[11.75 < a < 22, 0, Vitesse]) → Vit
  21. If(u ≟ 1, A1, If[u ≟ 2, A2, If[u ≟ 3, A3, If[u ≟ 4, A4, A5]]]) → rep
  22. If(Text[rep] ≟ e_1, 1, 0) → vue
  23. Point(c) → D_1
  24. Line(D, D_1) → d
  25. If(u ≟ 1, D, If[u ≟ 2, E, If[u ≟ 3, F, If[u ≟ 4, G, H]]]) → AA
  26. Segment(G_1, F_1) → e
  27. Segment(H_1, E_1) → f
  28. Point(d) → N_1
  29. Point(d) → P_1
  30. Polygon(O_1, Q_1, R_1, S_1) → poly1, o_1, q_1, r_1, s_1