This work is licensed under a Creative Commons Attribution 4.0 License. It is, however, most common to divide the second term by the first term because it is often the easiest method of finding the common ratio. We can divide any term in the sequence by the previous term. The common ratio is also the base of an exponential function as shown in Figure 2ĭo we have to divide the second term by the first term to find the common ratio? Saying 'the nth term' means you can calculate the value in position n, allowing you to find any number in the sequence. Therefore, this is not the value of the term itself but instead the place it has in the geometric sequence. The sequence of data points follows an exponential pattern. The first term is always n1, the second term is n2, the third term is n3 and so on. Substitute the common ratio into the recursive formula for geometric sequences and define. The common ratio can be found by dividing the second term by the first term. Write a recursive formula for the following geometric sequence.
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