And if you would like to see more MathSux content, please help support us by following ad subscribing to one of our platforms. Now that we have the second term, we can double it to find the third term: 4 We can double the third term to get the fourth: 8 And so on. ![]() So to find the second term, we take the term before it (1) and double it. So for example, from 3 to 9, you have to multiply by three, from 9 to 27 you also multiply by three from 27 to 81 you multiply by three. For example, we could define a sequence this way: The first term is 1. Still, got questions? No problem! Don’t hesitate to comment below or reach out via email. For example, the common difference in this situation of the sequence was three, a geometric sequence is a special type where the ratio between terms is always the same number. Personally, I recommend looking at the arithmetic sequence or geometric sequence posts next! Looking to learn more about sequences? You’ve come to the right place! Check out these sequence resources and posts below. Learn Math Formulas from a handpicked tutor in LIVE 1-to-1 classes. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. This constant is called the Common Difference. ![]() An Arithmetic Sequence is such that each term is obtained by adding a constant to the preceding term. A formula can be found for a recursive sequence. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. A Recursive equation is a formula that enables us to use known terms in the sequence to determine other terms. Think you are ready to solve a recursive equation on your own?! Try finding the specific term in each given recursive function below: Practice Questions: Solutions: Related Posts: For example, a recursive sequences could have a rule that the next term of the sequence is found by adding a constant number to the previous term.
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