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General Term of an Arithmetic Sequence

General Term of an Arithmetic Sequence
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2019-04-16 14:18
FunctionSequenceCoordinate Geometry
This example demonstrates how to find the general term of an arithmetic sequence given its first term and common difference. The key mathematical concept involved is the properties of arithmetic sequences. Using GeoGebra commands such as Random, RandomElement, and Simplify, the generation process of the arithmetic sequence can be dynamically displayed. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d
  2. RandomElement(dlist) → b
  3. Textfield(text1) → InputBox1
  4. Simplify((b * n) + d) → f

AI Drawing Prompt Reference

Create a visual representation of the general term in an arithmetic sequence, showing how a dynamically generated sequence is formed from randomly chosen first term and common difference, with the function graph illustrating the general term formula, highlighting the relationship between the sequence and the function, suitable for high school mathematics education.
The prompt above was compiled from the original drawing commands and is for reference only.