Arithmetic Sequence Demo by loreang98

Arithmetic Sequence Demo by loreang98
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2015-09-29 09:24
This example demonstrates the graphical representation and properties of arithmetic sequences, showing the dynamic relationship between sequence terms and the general term formula Tn=a+d(n-1). Core math concepts include arithmetic sequences, the general term formula, sum of the first n terms Sn=n(a1+an)/2, linear regression, and vector operations. GeoGebra commands/objects used are Segment, Sequence, Element, Corner, Polygon. Suitable for high school mathematics teaching to understand the connection between sequences, functions, and geometry, enhancing students' modeling and visualization skills.

GeoGebra Commands & Parameters

  1. Segment((n, 0), (n, AP(n))) → Tn
  2. Segment((n, 0), (n, AS(n))) → Sn
  3. Sequence(a + ((n - 1) * d), n, 1, 10) → Arithprog
  4. Element(Arithprog, n) → thiselement
  5. Corner(1, 1) → Cnr1
  6. Corner(1, 2) → Cnr2
  7. Corner(1, 3) → Cnr3
  8. Corner(1, 4) → Cnr4
  9. Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4