Infinite Geometric Series & Intro to Limits in Calculus - Part 1 - [18]

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In this lesson, you will learn how to write down the terms of a geometric series. A geometric series consists of the sum of the terms in a geometric sequence, where each successive term is found by taking the previous term and multiplying by a common ratio. If we have a geometric series that has an infinite number of terms, we say that it is an infinite geometric series. Even though this type of series has an infinite number of terms, the sum of these terms approaches a finite number, called the limit, and we say that series converges. The infinite geometric series converges if the common ratio is less than 1. In this lesson, we will explain how infinite geometric series work, how to calculate the sum of an infinite number of terms, and introduce the concept of a limit in calculus. Limits form the foundation of all of calculus.