Recurrence Relations
We have below bronze, silver and gold tutorials for our Higher Maths Recurrence Relations topic. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Be sure to mark your work for every exercise attempted and record your score and time taken in your recording grid.
Essential prior knowledge:-
4th Level Maths; MTH 4-13a
- Writing a formula to describe a number pattern
- Using a formula to make related calculations
- Finding the nth term
National 5 Maths; APP 1.3a
- Appreciation
- Depreciation
National 5 Maths; REL 1.1d
- Simultaneous Equations
2.1 - Calculating missing terms
2.2 - Finding the limit
2.3 - Finding the values of a and b
2.4 - Recurrence relations in context
2.1 - Calculating missing terms
In this module we learn how to calculate both next and previous terms when given the recurrence relations.
Video 24: Outcome 1 - Calculating missing terms (whole numbers). Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 25: Outcome 2 - Calculating missing terms (fractions and decimals). Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 26: Outcome 3 - Calculating missing terms (working backwards). This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.
2.2 - Finding the limit
In this module we learn how to calculate the limit of a recurrence relation with both decimals and fractions. We also learn how to calculate "a or b" when given the limit.
Video 27: Outcome 1 - Finding the limit (with decimals). Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 28: Outcome 2 - Finding the limit (with fractions). Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 29: Outcome 3 - Finding 'a' or 'b' when given the limit. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.
2.3 - Finding the values of "a and b"
In this module we learn how to calculate the values of a and b when given 3 consecutive terms of a recurrence relation. Well worth a watch!
Video 30: Outcome 1 - Finding 'a' and 'b' when given three consecutive terms. This is the only video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.
2.4 - Recurrence Relations in context
Recurrence relations are modelled on real-life contexts. This module will give you the opportunity to apply the skills you have learned throughout the topic. Good luck!
Video 31: Outcome 1 - Recurrence relations in context. This is the only video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
Past Paper Questions
Multiple Choice Questions
We have below a selection of Multiple Choice Exam questions. Although the exam is not in this format any more these questions provide an excellent opportunity to quickly test you on your knowledge of the topic before you try the longer questions in the section after this. To try the questions, just click on the links below.
SQA Exam Questions
You will find below a collection of Recurrence Relations SQA past paper questions. You should click on a question, pause the video when instructed and give the question your best shot. Then un-pause the video and watch the worked solution. If the question is from paper 1 you should NOT use a calculator. You should make this section a regular place to come back to when revising. Even if you get the correct answer, it is recommended that you try all these questions more than once at various stages throughout the year.
2.1 - Calculating missing terms
2.2 - Finding the limit
- 2017 Paper 1 Question 9
- 2016 Paper 1 Question 3
- 2015 Paper 2 Question 3
- 2012 Paper 2 Question 6
- 2007 Paper 1 Question 7
- 2006 Paper 1 Question 4
- 2004 Paper 2 Question 4
- 2000 Paper 1 Question 5
- 1999 Paper 1 Question 18
2.3 - Finding the values of a and b
- 2019 Paper 1 Question 4
- Specimen Paper 2 Question 2
- Exemplar Paper 2 Question 1
- 2003 Paper 1 Question 4
2.4 - Recurrence relations in context
Congratulations!
You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!
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