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Arithmetic Sequence Formula

Arithmetic Sequence Formula
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2017-05-03 04:35
FunctionSequenceGeometric Construction
This example demonstrates how to find the general term of an arithmetic sequence given the first term and common difference. Core math concepts include arithmetic sequences, general term formula, and sequence summation. GeoGebra commands and objects used are Random, RandomElement, Polygon, If. Suitable for high school mathematics teaching to understand and apply arithmetic sequence formulas.

GeoGebra Commands & Parameters

  1. Random(-20, 20) → a
  2. RandomElement(list1) → d
  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, s, t
  8. Polygon(U, V, W, Z) → poly6, u_1, v, w, z_1
  9. Polygon(A_1, B_1, C_1, D_1) → poly7, a_2, b_2, c_2, d_2
  10. RandomElement(list2) → n
  11. If(n ≟ 2, b, If[n ≟ 3, c, If[n ≟ 4, e, If[n ≟ 5, f, If[n ≟ 6, g, If[n ≟ 7, h, 0]]]]]) → u_n