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Arithmetic Sequence by firozekhan k

Arithmetic Sequence by firozekhan k
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2017-05-06 14:53
FunctionSequenceCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the generation process of an arithmetic sequence. An arithmetic sequence is a fundamental concept in mathematics, characterized by a constant difference between consecutive terms. Using the Sequence command in GeoGebra, the first n terms of an arithmetic sequence can be dynamically generated. The example also involves InputBox objects, allowing users to input the first term, common difference, and number of terms to generate the corresponding sequence. Suitable for students at the junior high school level and above to learn about arithmetic sequences.

GeoGebra Commands & Parameters

  1. Sequence((i, 0), i, 0, n + 1) → list1
  2. Sequence(Sequence[Polygon[(x(Element[list1, i]), k), (x(Element[list1, i + 1]), k), 4], k, 0, a + ((i - 1) * d) - 1], i, 1, n) → list7
  3. Textfield(a) → InputBox1
  4. Textfield(d) → InputBox2
  5. Textfield(n) → InputBox3

AI Drawing Prompt Reference

Draw a visual demonstration of an arithmetic sequence on a coordinate plane: place a series of equally spaced points along the horizontal axis starting from the origin, each at an integer position. From these points, build upward vertical rectangular bars whose heights follow the sequence: the first bar has the initial value, and each subsequent bar increases by a fixed common difference. Include three input boxes to set the first term, the common difference, and the number of terms; when these values are changed, the bar chart updates dynamically to show the sequence's growth pattern. Keep the layout clear for educational purposes.
The prompt above was compiled from the original drawing commands and is for reference only.