For a refresher:

A series is the sum of a list of terms that are generated with a pattern. A series is denoted with a summation symbol. An infinite series is a series that has an infinite number of terms being added together.

Here is an example of an infinite series:

In this blog post, I will go over the convergence test for geometric series, a type of infinite series.

A geometric series is a series that has a constant ratio between successive terms. A visualization of this will help you better understand.

Here’s a geometric series:

We can rewrite this geometric series using the summation notation.

If the series is of the form ,

if |r|<1, then the geometric series converges to

if |r|≥1, then the geometric series diverges

Let’s see some examples to better understand.

First example (click here):

The geometric series converges to .

Next example (click here):

2. Determine the value of r

The geometric series diverges.

Last example (click here):

1. Reference the geometric series convergence test

2. Determine the value of r

The geometric series converges to 6.

As you can see, it is not too difficult to determine if a geometric series converges or not. After doing some practice problems, you’ll get the hang of it very quickly. For more help or practice on geometric series, check out Symbolab’s Practice. Next blog post, I’ll go over the convergence test for p-series.

Until next time,

Leah

The article you have shared here very awesome. I really like and appreciated your work bouncing balls , red ball

ReplyDeleteMath and English are very predictable and regular in their usage, and the one underlying thing that you require to understand to survive in any profession is how to attack difficulties in an orderly manner to arrive at predictable solutions. If there were any additional subjects that teachers could use to teach you how to.Write My Essay - MakeMyEssay The universal value of math, whether you use it directly or not,

ReplyDeleteAre you looking for affordable but quality assignment help, before booking your order read this uk essays review.

ReplyDeleteOf late it has been seen that students are wondering “is edubirdie legit?”

Now, does that make Grademiners legit site to work with? Certainly not! What students mostly look for in such cases is security. This certainly Grademiners Review makes a fake site to work with.

All the scholastic requirements of the higher educational institutions in mind when composing the assignment from scratch. As per the Myassignmenthelp Review posted by students, MyAssignmenthelp.com legit website for expert assistance with assignments.