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General Term of Arithmetic Sequence from Two Terms

General Term of Arithmetic Sequence from Two Terms
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2020-03-05 12:46
FunctionSequenceCoordinate Geometry
This example demonstrates how to find the general term of an arithmetic sequence given any two terms. It involves core math concepts like arithmetic sequences, general term formulas, and mathematical induction. GeoGebra commands/objects used include RandomElement, Random, If, Simplify, Corner, and Textfield for generating random numbers, conditional logic, expression simplification, and displaying text. Suitable for high school mathematics teaching, helping students understand and apply the general term formula of arithmetic sequences.

GeoGebra Commands & Parameters

  1. RandomElement(aAlist) → aA
  2. Random(-10, 12) → bapos
  3. Random(-10, 40) → baneg
  4. If(aA < 0, baneg, bapos) → bB
  5. Random(2, 8) → qn1
  6. Simplify((aA * n) + bB) → uU
  7. Corner(5) → dims
  8. Textfield(stans) → InputBox1
  9. Random(1, 2) → qQ
  10. If(bB ≟ 0, "", If[bB < 0, bBneg, bBpos]) → bBtext
  11. If(aA ≟ 1, "", If[aA ≟ -1, "-", aAtextne1]) → aAtext

AI Drawing Prompt Reference

Create an arithmetic sequence's general term formula given any two terms. First, randomly generate the values of the two terms, then calculate the first term and common difference based on these terms, and finally express the general term using the first term and common difference. Pay attention to handling cases where the common difference is zero, or the first term is 1 or -1.
The prompt above was compiled from the original drawing commands and is for reference only.