In this lesson you will learn about Infinite Geometric Series and the Partial Sums of the Infinite Series. After, you will cover Convergent Series and the Sum of an Infinite Geometric Series. Finally, you will dive into Sigma Notation and Repeating Decimal examples.
Remember that an
infinite geometric series converges only if |r| < 1. If you are
given a series to evaluate, first check the value of r. If it does
not satisfy this condition, the series does not have a sum.
To convert a
repeating decimal to a fraction, let r = 10-n , where n =
number of digits in the repeating pattern of the decimal. Let a1
= the fraction which contains the pattern written once in the
numerator and 10n in the denominator.
Infinite Geometric Series
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.