Welcome to Mathsux! This post is going to show you everything you need to know about **Recursive Formulas** by looking at three different examples. Check out the video below for more of an explanation and test your skills with the practice questions at the bottom of this page. Happy calculating! 🙂

## What is a **Recursive Formula**?

A **Recursive Formula** is a type of formula that forms a sequence based on the previous term value. What does that mean? Check out the example below for a clearer picture:

**Example #1**:

-> First, let’s decode what these formulas are saying.

-> We found the sequence 2, 6, 10, 14, 18. Since we only needed the fifth term to answer our question, we know our solution is 18.

**Example #2**:

-> First, let’s decode what these formulas are saying.

*****Note** this was written in a different notation but is solved in the exact same way!

-> We found the sequence 1,3,9. Since we only needed to find the third term to answer our questions, we know our solution is 9.

-> First, let’s decode what these formulas are saying.

-> We found the sequence 4,10, 28. Since we only needed to find the third term to answer our question, we know the solution is 28.

**Practice Questions:**

**Solutions:**

Still got questions? No problem! Check out the video above for more or try the NYS Regents question below, and please don’t hesitate to comment with any questions. Happy calculating! 🙂

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***Bonus! Want to test yourself with a similar NYS Regents question on Recursive Formulas? Click here! And if you want to learn about even more sequences, check out the link here!

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