![]() ![]() This work is licensed under a Creative Commons Attribution 4.0 License. Step 1.State whether this sequence is arithmetic or geometric and find the explicit formula. However if you are asking about the context in this article, the way they assigned Recursive and Explicit to the formulas is correct. State whether each sequence is arithmetic or geometric, and then find the explicit and recursive formulas for each sequence. 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. Exponential sequences mean multiplying or dividing the same value from the previous term to get the current term, also the definition of geometric sequence. 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? The sequence of data points follows an exponential pattern. Substitute the common ratio into the recursive formula for geometric sequences and define. There are three steps to writing the recursive formula for a geometric sequence, and they are very similar to the steps for an arithmetic sequence: Find and double-check the common ratio (the. 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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