Applications of Geometric Sequences and Series

Key points

  • There are many real life applications for geometric sequences and series.
    • All applications are based upon compounding multiplications of previous values.
      • This concept is called geometric progression.

As defined previously, a geometric sequence is a list of numbers in which one term is multiplied by a constant (common ratio) to find the next term. A geometric series is the sum of this sequence.

  • Based on the aspect of compounding multiplication, geometric sequences and series can be used to describe exponential growth.
    • Examples include: bacteria population growth,  radioactive decay, fractal geometry, etc.

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