• Mathematics General
  • Year 12

Recursion and Financial Modelling

approx. 8 hrs

2 topics

21 concepts

Strengthen your skills in Recursion and Financial Modelling to build confidence and examination success.

Available in


The Year 12 General Mathematics program covers Recursion and Financial Modelling content defined in the Australian curriculum. In Recursion and Financial Modelling, students become competent in arithmetic and geometric sequences and their application to financial modelling, including models of exponential growth and decay.

Topics & Concepts We Cover

This learning program is made up of the following 2 topics, broken down into 21 concepts.

  • Recursion 13 concepts

    1. Derive a formula for the nth term of a series

    2. Find the nth term of an arithmetic sequence

    3. Generate an arithmetic sequence given the first term and the rule for the nth term

    4. Identify that a sequence is an arithmetic sequence by finding a common difference

    5. Generate the terms of an arithmetic sequence using a calculator

    6. Graph a geometric sequence

    7. Identify that a sequence is a geometric sequence by finding the common ratio

    8. Generate a geometric sequence given the first term and the rule for the nth term

    9. Find nth term of a geometric sequence

    10. Use a calculator to generate a sequence of numbers from recurrence relations and investigate long-term behaviour

    11. Use a calculator to generate a sequence of numbers from a rule

    12. Graph an arithmetic sequence

    13. Generate a sequence from a first-order linear recurrence relation

  • Application of Recursion and Financial Modelling 8 concepts

    1. Use a recurrence model to analyse a simple interest investment or loan with a graphing calculator

    2. Modelling flat rate depreciation with a recurrence relation

    3. Write a rule for determining the nth term for linear growth or decay

    4. Modelling reducing balance depreciation with a recurrence relation

    5. Writing rules for the nth term of a sequence generated from a geometric recurrence relation

    6. Modelling compound interest with a recurrence relation that compounds yearly

    7. Generating terms in a Fibonacci sequence from adjacent terms

    8. Generating terms of a sequence using a second-order recurrence relation

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Recursion and Financial Modelling


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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