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Dynamic Sequence Illustrator

Dynamic Sequence Illustrator
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2016-11-26 01:05
FunctionSequenceCoordinate Geometry
In collections BC Calculus
This example illustrates the dynamic changes in sequences, involving key concepts of sequences and series. Using GeoGebra commands such as Sequence, Dilate, and Segment, users can observe the generation process of sequences dynamically. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Sequence(i, i, 1, 100, 1) → list1
  3. Sequence((Element[list1, i], f(Element[list1, i])), i, 1, 100, 1) → list2
  4. Dilate(A, If[0 < m ≤ 1, 1 - m, 0], (1, g(1))) → A'
  5. Segment(A, A') → n
  6. Dilate(B, If[1 < m ≤ 2, 2 - m, 0], (2, g(2))) → B'
  7. Segment(B, B') → p
  8. FractionText(a) → text4
  9. FractionText(b) → text5
  10. FractionText(c) → text6
  11. Dilate(C, If[2 < m ≤ 3, 3 - m, 0], (3, g(3))) → C'
  12. Segment(C, C') → q