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Geometric Sequences and Series
Algebra Textbooks Boundless Algebra Sequences and Series Geometric Sequences and Series
Algebra Textbooks Boundless Algebra Sequences and Series
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Algebra
Concept Version 15
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Summing the First n Terms in a Geometric Sequence

Infinite geometric series

Infinite geometric series

Each of the purple squares is obtained by multiplying the area of the next larger square by $\displaystyle{\frac{1}{4}}$. The area of the first square is $\displaystyle{\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}}$, and the area of the second square is $\displaystyle{\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}}$. 

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    Boundless vets and curates high-quality, openly licensed content from around the Internet. This particular resource used the following sources:

    "Geometric Series."
    http://en.wikipedia.org/wiki/Geometric_series Wikipedia GNU FDL.

Related Terms

  • geometric series
  • geometric progression
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