3. Geometric Sequences and Series
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What types of sequences do you know?
geometric, common
We want to complete the following statement.
A sequence is called a sequence if the ratios of consecutive terms are the same. This ratio is called the ratio. |
Let's start by recalling two types of sequences we learned in this chapter.
Type of Sequence | Description |
---|---|
arithmetic sequence | A sequence is arithmetic when the differences between consecutive terms are the same. This difference is the common difference of the sequence. |
geometric sequence | A sequence is geometric when the ratios of consecutive terms are the same. This ratio is the common ratio of the sequence. |
We can see that the given sentence matches the description of the geometric sequence. With this in mind, let's complete the sentence.
A sequence is called a geometric sequence if the ratios of consecutive terms are the same. This ratio is called the common ratio. |