So little R in this case is equal to three kind of like how in this case little D was equal to three. And the letter we use for this is little R. Now this ratio over here is called the common ratio. So instead of adding three to each number to get the next one, you have to multiply by three to get the next number. So for example, from 3 to 9, you have to multiply by three, from 9 to 27 you also multiply by three from 27 to 81 you multiply by three. For example, the common difference in this situation of the sequence was three, a geometric sequence is a special type where the ratio between terms is always the same number. So remember that arithmetic sequences are special types where the difference between terms was always the same. So I wanna show you how to do that and the basic difference between these two types. And what we're gonna see is that there's a lot of similarities between how we use the information and the pattern across the numbers to set up a recursive formula for these types of sequences. What I'm gonna show you in this video is that this is a special type of sequence called a geometric sequence sequence. It's constantly getting bigger, but there's still actually a pattern going on with this sequence. Clearly, we can see that the difference between numbers is never the same. But let's take a look at this sequence over here. So we just finished talking a lot about arithmetic sequences like for example, 369 12, where the difference between each number is always the same number.
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