00:01
We have the series 8 plus 4 plus 2 and so on, added all the way up forever.
00:07
So let's determine if this is going to converge or not.
00:11
In order to do this, we need to look at the common ratio.
00:13
Common ratio, r, is just one term divided by the previous term, such as 2 over 4, which simplifies to 1⁄2.
00:21
The beauty of this is that it's the same for every term, that is 4 over 8 is also 1⁄2, and any two consecutive terms divided will give you one half.
00:30
Now that we know this, we can apply a certain rule given in the text, which states that if the absolute value of the common ratio is less than one, which it is, the series will converge...