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Geometric Sequences and Series

Geometric Sequences and Series
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2019-09-25 09:23
FunctionSequenceGraphing
This example demonstrates the graphical representation of geometric sequences and the visualization of their sum formulas. Core math concepts include the definition of geometric sequences, general term formula, sum of the first n terms, and geometric mean. GeoGebra commands used are Sequence, with objects like a, n, r, X, Y1, Y2, O, f, Y2, R, g. Suitable for high school mathematics teaching to understand the dynamic changes of sequences and the application of sum formulas.

GeoGebra Commands & Parameters

  1. Sequence(i, i, 1, n) → X
  2. Sequence((a * r^(i - 1)), i, 1, n) → Y_{1}
  3. Sequence(0, i, 0, n) → O
  4. Sequence(Sum[Y_{1}, i], i, 1, n) → Y_{2}