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Arithmetic Series Demo by Darika Siripala

Arithmetic Series Demo by Darika Siripala
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2019-04-10 01:00
FunctionSequenceGraphing
This example demonstrates the graphical representation and sum formula verification of an arithmetic series. Key math concepts include arithmetic sequence, general term formula, sum of n terms, and sequence visualization. Construction highlights involve using Sequence, Simplify, Textfield, TableText commands, and Slider for dynamic adjustment of first term and common difference. Suitable for high school mathematics teaching to understand sequence properties and calculations.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(k, 0), (k, h(k))], k, 1, howmanyterms) → list1
  2. Sequence(k, k, 1, Length[list1]) → list5
  3. Simplify(f2d) → e
  4. Sequence(e1d(k), k, 1, Length[list1]) → list10
  5. Sequence(e(k, x), k, 1, Length[list1]) → list4
  6. Textfield(a_1) → inputBox2
  7. Textfield(d) → inputBox3
  8. Simplify(rightside) → c
  9. Sequence(Text[h(k), (0, 0), true, true], k, 1, Length[list1]) → list3
  10. Sequence(Segment[(k, 0), (k, e(k, 0))], k, 1, 10) → list2
  11. TableText({list4}, "v") → text3
  12. TableText({list5, list4, list10}, "v") → text2
  13. Textfield(howmanyterms) → inputBox4
  14. Sequence(h(k), k, 1, Length[list1]) → list6
  15. Sequence(f(k), k, 1, Length[list1]) → list7
  16. Sequence(f2dversion(k, x), k, 1, Length[list1]) → list8
  17. Sequence(k, k, 1, Length[list1]) → list9
  18. TableText({list9, list8, list7}, "v") → text4
  19. Textfield(f) → inputBox1