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Arithmetic Sequences: Two Terms

Arithmetic Sequences: Two Terms
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2017-05-03 14:57
SequenceCoordinate GeometryGeometric Construction
This example demonstrates the relationship between two terms in an arithmetic sequence and their graphical representation. It involves core concepts like arithmetic sequences, terms, line segments, differences, and slopes. Constructed using commands like Random, RandomElement, Sequence, Simplify, Polygon, Segment, and objects such as list1, n_1, a, d, etc. Suitable for high school mathematics education to understand the properties and geometric applications of arithmetic sequences.

GeoGebra Commands & Parameters

  1. Random(7, 15) → n_1
  2. RandomElement(list1) → a
  3. RandomElement(list1) → d
  4. Random(1, 10) → m
  5. Sequence((d * n) + b, n, 1, 15) → S
  6. Simplify(text9) → text12
  7. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d_1
  8. Polygon(D, E, F, C) → poly2, d_2, e_1, f, c_1
  9. Polygon(H, G, F, E) → poly3, h, g, f_1, e_2
  10. Segment(A, B) → i
  11. Segment(B, G) → j
  12. Segment(G, H) → k
  13. Segment(H, A) → l
  14. Segment(D, C) → n
  15. Segment(E, F) → p