Summing the First n Terms in a Geometric Sequence

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 $\displaystyle{\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}}$.

Source

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.

Summing the First n Terms in a Geometric Sequence

Infinite geometric series

Source

Related Terms