Arithmetic Sequence General Term Demo

Arithmetic Sequence General Term Demo
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2020-03-05 11:14
This example demonstrates the general term of an arithmetic sequence and its graphical representation. Key math concepts include arithmetic sequences, general term formula, common difference, and sum of the first n terms. GeoGebra commands and objects used are RandomElement, Random, If, Simplify, Corner, Textfield, with objects like aAlist, u1, u2, u3, etc., to generate random numbers and dynamically display the sequence. Suitable for high school mathematics teaching to understand and apply the general term formula of arithmetic sequences.

GeoGebra Commands & Parameters

  1. RandomElement(aAlist) → aA
  2. Random(-5, 40) → baneg
  3. Random(-10, 12) → bapos
  4. If(aA < 0, baneg, bapos) → bB
  5. Simplify((aA * n) + bB) → uU
  6. Corner(5) → dims
  7. Textfield(stans) → InputBox1
  8. Random(1, 2) → qQ
  9. If(qQ ≟ 1, q1text, q2text) → questiontext