![]() Then we will investigate different sequences and figure out if they are Arithmetic or Geometric, by either subtracting or dividing adjacent terms, and also learn how to write each of these sequences as a Recursive Formula.Īnd lastly, we will look at the famous Fibonacci Sequence, as it is one of the most classic examples of a Recursive Formula. I like how Purple Math so eloquently puts it: if you subtract (i.e., find the difference) of two successive terms, you’ll always get a common value, and if you divide (i.e., take the ratio) of two successive terms, you’ll always get a common value. Then, we either subtract or divide these two adjacent terms and viola we have our common difference or common ratio.Īnd it’s this very process that gives us the names “difference” and “ratio”. And adjacent terms, or successive terms, are just two terms in the sequence that come one right after the other. That is each subsequent number is increasing by 3. ![]() To recall, all sequences are an ordered list of numbers. Well, all we have to do is look at two adjacent terms. Sequence formula mainly refers to either geometric sequence formula or arithmetic sequence formula. Practice identifying both of these sequences by watching this tutorial Keywords: sequence arithmetic sequence geometric sequence common ratio common. Arithmetic sequences are also known as linear sequences because, if you plot the position on a horizontal axis and the term on the vertical axis, you get a linear (straight line) graph. It’s going to be very important for us to be able to find the Common Difference and/or the Common Ratio. ![]() ![]() Comparing Arithmetic and Geometric Sequences ![]()
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