# Science:Infinite Series Module/Units/Unit 1/1.2 Sigma Notation/1.2.01 Introduction to Sigma Notation

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In many areas of mathematics, we are given an infinite sequence

and we need to add its elements together

which would produce what we will refer to as an **infinite sum** or **infinite series**. In producing this infinite sum, we are led to the following initial questions:

- Is there a convenient notation that we can use to represent an infinite sum?
- What properties would the sum have?
- Can we find equivalent representations of the sum?

The last question is of particular importance when

- applying formulas to infinite sums, and
- performing algebraic manipulations upon equations with multiple sums,

as we will see later in the module.