• Mathematics Advanced
  • Year 12

Series and Applications

approx. 8 hrs

6 topics

17 concepts

Become accomplished with Series and Applications for your Trial and HSC examinations.

Available in


This learning program covers the Year 12 Mathematics Advanced, Series and Applications topic as specified in the NSW Mathematics syllabus.  In Year 12 Series and Applications, students apply appropriate techniques from the study of series to solve complex problems.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 17 concepts.

  • General Series 1 concept

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

  • Sigma Notation 3 concepts

    1. Convert from expanded form to sigma notation

    2. Convert from sigma notation to expanded form

    3. Use sigma notation to determine number of terms in a series

  • Arithmetic Series 3 concepts

    1. Sum of an arithmetic progression

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

    3. Find the nth term of an arithmetic sequence

  • Finite Geometric Series 3 concepts

    1. Sum of a geometric series

    2. Find nth term of a geometric sequence

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

  • Infinite Geometric Series 3 concepts

    1. Find the condition for an infinite geometric series to converge

    2. Finding the limiting sum of an infinite geometric series

    3. Finding the rational form of a recurring decimal using infinite geometric series

  • Application of Series 4 concepts

    1. Miscellaneous application problems for arithmetic and geometric series

    2. Annuities applications

    3. Loan repayment applications

    4. Compound interest applications

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 Series and Applications


  • 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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