Learning Objectives:

__Math Tutoring on Infinite Series__

A **sequence** is an ordered list of terms or elements. There are two types of **sequences**, a **finite sequence,** and an **infinite sequence**. An **infinite sequence** is the one which continues on forever. **Infinite series** is defined as the sum of the terms of an **infinite sequence**. Given an **infinite sequence** of numbers **{aᵣ},** a **series** is informally the result of adding all those terms together**: a _{1} + a_{2} + a_{3} + · · ·.** An

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**Hook Questions:**

*1. What is the partial sum? *

*2. What is the definition of infinite sequence? *

*3. Can an infinite arithmetic series ever converge?*

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