Algebra: How to use Recursive Formulas?

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:

Screen Shot 2020-08-11 at 8.12.21 AM.pngScreen Shot 2020-08-11 at 8.12.33 AMScreen Shot 2020-08-11 at 9.18.18 AM

Screen Shot 2020-08-11 at 8.13.07 AMScreen Shot 2020-08-11 at 8.13.36 AM.pngScreen Shot 2020-08-11 at 9.21.01 AM.pngScreen Shot 2020-08-11 at 8.14.34 AM.pngScreen Shot 2020-08-11 at 8.14.49 AMExample #2:

Screen Shot 2020-08-11 at 8.15.19 AM.png

Screen Shot 2020-08-11 at 8.15.38 AMScreen Shot 2020-08-11 at 9.22.10 AMScreen Shot 2020-08-11 at 8.52.36 AMScreen Shot 2020-08-11 at 8.52.52 AM.pngScreen Shot 2020-08-11 at 9.23.54 AM.png

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

Screen Shot 2020-08-11 at 8.53.24 AM.pngScreen Shot 2020-08-11 at 8.53.35 AM

Example #3:Screen Shot 2020-08-11 at 8.54.05 AM.pngScreen Shot 2020-08-11 at 8.54.19 AMScreen Shot 2020-08-11 at 9.24.42 AMScreen Shot 2020-08-11 at 8.54.49 AMScreen Shot 2020-08-11 at 9.25.41 AM.pngScreen Shot 2020-08-11 at 8.56.22 AMScreen Shot 2020-08-11 at 8.56.36 AM.pngPractice Questions:

Screen Shot 2020-08-11 at 10.04.21 AM

Solutions:

Screen Shot 2020-08-11 at 9.02.18 AM.png

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!

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