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General Term of a Geometric Sequence Given Two Terms

General Term of a Geometric Sequence Given Two Terms
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2017-05-08 16:04
FunctionSequenceGeometric ConstructionSlider AnimationGraphing
This example demonstrates how to find the general term of a geometric sequence when given any two terms. It involves core math concepts like the definition of geometric sequences, general term formulas, and proportional relationships. Construction highlights include using GeoGebra commands like RandomElement, Random, Polygon, and Sequence to generate random numbers, polygons, and sequences. Suitable for high school mathematics teaching, focusing on understanding and applying the general term formula of geometric sequences.

GeoGebra Commands & Parameters

  1. RandomElement(list1) → r
  2. Random(1, 12) → a
  3. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  4. Polygon(E, F, G, H) → poly2, e_1, f_1, g_1, h_1
  5. Polygon(I, J, K, L) → poly3, i_1, j, k, l
  6. Polygon(M, N, O, P) → poly4, m, n_1, o, p
  7. Polygon(Q, R, S, T) → poly5, q, r_1, s, t
  8. Polygon(U, V, W, Z) → poly6, u, v, w, z_1
  9. Polygon(A_1, B_1, C_1, D_1) → poly7, a_2, b_2, c_2, d_2
  10. Random(4, 7) → n_3
  11. Random(1, 3) → n_2
  12. Sequence((a * r^(n - 1)), n, 1, 7) → list2