Understanding Common Ratios in Geometric Sequences
Learn the simple method to write the common ratio in geometric sequences effectively.
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A common ratio is written as the factor between consecutive terms in a geometric sequence. For instance, in the sequence 2, 6, 18, the common ratio is 3 (since 6/2 = 18/6 = 3). It’s typically denoted as r.
FAQs & Answers
- What is a common ratio in a geometric sequence? A common ratio is the factor by which you multiply one term to get the next in a geometric sequence.
- How do you calculate the common ratio? To calculate the common ratio, divide any term in the sequence by the previous term.
- Can a common ratio be a fraction? Yes, a common ratio can be a fraction, for instance, in the sequence 2, 1, 0.5, the common ratio is 0.5.
- What is an example of a geometric sequence? An example of a geometric sequence is 3, 6, 12, 24, where the common ratio is 2.