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Sequence - Practice

Sequence - Practice
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2020-05-19 02:04
FunctionSequenceCoordinate Geometry
This example demonstrates the generation and pattern of sequences. Key mathematical concepts include the definition of sequences, general term formulas, and the sum of the first n terms. Using GeoGebra commands such as Sequence and Random, dynamic sequences can be generated and observed for pattern recognition. Suitable for middle school and above students to learn and practice sequence-related knowledge.

GeoGebra Commands & Parameters

  1. Corner(1) → C
  2. Textfield(ans1) → InputBox1
  3. Textfield(ans2) → InputBox2
  4. If(abs(cr) > 1, "×", If[abs(cr) < 1, "÷", If[cd > 0, "+", If[cd < 0, "-"]]]) → csig
  5. If(abs(cr) > 1, cr, If[abs(cr) < 1, 1 / cr, abs(cd)]) → cval
  6. If(cr ≠ 1, csig + "(" + cval + ")", csig + cval) → text12
  7. If(cr ≠ 1, csig + "(" + cval + ")", csig + cval) → text13
  8. If(cr ≠ 1, csig + "(" + cval + ")", csig + cval) → text14
  9. Sequence(Semicircle[(x(A) + (2.6 * i) - 0.3, y(A)), (x(A) + (2.6 * i) - 2.6, y(A))], i, 1, 4) → l1
  10. If(cr ≠ 1, csig + "(" + cval + ")", csig + cval) → text15
  11. Sequence(Vector[(x(A) + (2.6 * i) - 0.4, y(A) - 0.5), (x(A) + (2.6 * i) - 0.3, y(A) + 0.1)], i, 1, 4) → l2
  12. Random(0, 1) → op

AI Drawing Prompt Reference

Draw a sequence diagram including four semicircles and four vectors. The centers of the semicircles start from point A and move 2.6 units to the right for each, with a radius of 0.3. The vectors start from point A and move 2.6 units to the right for each, with a length of 0.6 and pointing upwards. The common ratio of the sequence is a random number between 0 and 1. If the ratio is greater than 1, it represents multiplication; if less than 1, it represents division; if equal to 1, it represents addition or subtraction.
The prompt above was compiled from the original drawing commands and is for reference only.