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Arithmetic Sequence Demo

Arithmetic Sequence Demo
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2017-05-06 14:52
VectorSequenceCoordinate GeometryCalculusOptimization
This example demonstrates the generation and visualization of an arithmetic sequence. It involves core math concepts like arithmetic sequences, integers, sequences and series, differential calculus, optimization problems, and 3D vectors. Construction highlights include using GeoGebra commands Sequence and Textfield, with objects a (first term), d (common difference), n (number of terms), list1, list7, and InputBoxes for input. Suitable for high school and above learners to understand sequence properties and parameter effects.

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 an arithmetic sequence graph with n terms, starting with a and a common difference of d. First, plot n+1 points on the x-axis, then use these points and the terms of the arithmetic sequence to draw n trapezoids, with the top and bottom bases of each trapezoid being adjacent points and the height being the terms of the sequence. Input the values of the first term a, common difference d, and number of terms n using input boxes.
The prompt above was compiled from the original drawing commands and is for reference only.