The geometric series is an infinite series derived from a special type of sequence called a geometric progression. This means that it is the sum of infinitely many terms of geometric progression: starting from the initial term See more

The convergence of the infinite sequence of partial sums of the infinite geometric series depends on the magnitude of the common ratio See more

2,500 years ago, Greek mathematicians believed that an infinitely long list of positive numbers must sum to infinity. Therefore, Zeno of Elea created a paradox, … See more

While geometric series with real and complex number parameters $${\displaystyle a}$$ and $${\displaystyle r}$$ are most common, geometric series of more general … See more

Like the geometric series, a power series has one parameter for a common variable raised to successive powers corresponding to the … See more

As mentioned above, the geometric series can be applied in the field of economics. This leads to the common ratio of a geometric series that … See more

• "Geometric progression", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
• Weisstein, Eric W. "Geometric Series". MathWorld.
• Geometric Series at PlanetMath. See more