**Infinite Sum** An **infinite geometric series** is the **sum** of an **infinite geometric sequence**. When the ratio **has** a magnitude greater than 1, the terms in the **sequence will get** larger and larger, and the if you add larger and larger numbers forever, you **will get infinity** for an answer.

Similarly, can a geometric sequence have a negative common ratio? Yes, a **geometric can have a negative common ratio**. These progressions **will** alternate between **negative** and positive terms. Take for example, the below **sequence**. You **can** also calculate the sum to infinity.

Likewise, people ask, what is the sum of the infinite geometric series represented by?

For example, ∞∑n=110(12)n−1 is an **infinite series**. The **infinity** symbol that placed above the sigma notation indicates that the **series** is **infinite**. To find the **sum** of the above **infinite geometric series**, first check if the **sum** exists by using the value of r . Here the value of r is 12 .

What does σ mean in math?

Sigma Notation. **Σ** This symbol (called Sigma) means sum up