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Arithmetic Sequence Term Calculator

Arithmetic Sequence Term Calculator
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2020-10-03 14:41
FunctionSequenceGraphing
This GeoGebra example demonstrates dynamic calculation of any term in an arithmetic sequence. By clicking buttons to randomly generate the first term (a1) and common difference (d), the system automatically calculates and displays the first n terms of the sequence. Core mathematical concepts include: the general term formula an=a1+(n-1)d, the sum formula of arithmetic sequences, and tabular representation. Construction details: Random and RandomElement commands are used for parameter generation, If statements implement dynamic calculations, text1-text9 display term values, and P1-P8 visualize the sequence distribution in the coordinate system. This example is suitable for middle school mathematics teaching on sequences, demonstrating generation patterns, the effect of common difference, and the idea of combining numbers with graphics.

GeoGebra Commands & Parameters

  1. Random(-10, 40) → a1
  2. RandomElement(a3list) → a3
  3. Random(20, 60) → a2
  4. RandomElement(dlist) → rR
  5. If(rR ≤ -10, a3, If[-9 ≤ rR < 0, a2, a1]) → aA
  6. RandomElement(qlist) → qQ
  7. Random(3, 7) → nN
  8. If(nN ≟ 3, t3, If[nN ≟ 4, t4, If[nN ≟ 5, t5, If[nN ≟ 6, t6, If[nN ≟ 7, t7]]]]) → ans

AI Drawing Prompt Reference

Create a graph of an arithmetic sequence by first randomly generating the first term a1 and the common difference d. Then, calculate the values of the first n terms based on the value of n. The graph should include a coordinate system showing the distribution of the first few terms of the sequence and their corresponding values.
The prompt above was compiled from the original drawing commands and is for reference only.