Recurrence Formulae

Recurrence Formulae
Recurrence Formulae
Recurrence Formulae
Recurrence Formulae

What's Included

  • Smart Notebooks Presentation
  • Activ Inspire Flipchart
  • Lesson Plan
  • Microsoft PowerPoint Presentation
  • Differentiated Worksheet

Recurrence Formulae

In this mathematics lesson students learn how to generate terms of a sequence using a recurrence formula.  As learning progresses they consider second term sequences as well as deriving possible formulae from a pattern.  The start of the lesson is used to recap the difference between geometric and arithmetic sequences by categorising various patterns into each group.
Differentiated Learning Objectives
  • All students should be able to generate the first six terms of a recurrence sequence in the form Un+1
  • Most students should be able to generate the first six terms of a recurrence sequence using the previous term.
  • Some students should be able to generate the first six terms of a recurrence sequence in the form Un+2= aUn+1Un
View online lesson
Lesson Downloads
Download PowerPoint Download Notebook Download Flipchart Download Worksheet
Scheme of Work Link
Patterns and Sequences Foundation Arithmetic and Geometric Sequences Higher
IMMEDIATE DOWNLOAD

You may also like...

Geometric Sequences

Throughout this mathematics lesson students learn how to derive the nth term for geometric sequences in the form...

Generating a Sequence

Students learn how to generate sequences using the nth term formula.  As learning progresses they progress from ...

Nth Term Linear

Students learn how to create formula, called the nth term, to algebraically describe a numerical and picture ari...

Nth Term Quadratic

To find the nth term of a quadratic sequence students are taught to break down the formula into into quadratic, ...

Mr Mathematics Blog

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]

Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]