• Arithmetic and Geometric Progressions and Their Sums

    Learn how to describe and solve problems involving arithmetic (linear) and geometric (multiplicative) sequences and sums of their terms.

  • Formal Notation For Sequences and Series

    Learn how to use the correct notation for sequences, including describing them iteratively, as well as the Sigma notation needed to define series (sums of sequences) precisely.

  • Solve challenging problems

    After solving a mixture of introductory GCSE and A-level style problems and harder maths challenge style problems, all with video solutions, you'll have really mastered the topics.

Hi, I'm Kevin, your teacher for this course!

I studied maths at Oxford University and learnt to teach at some of the UK's most prestigious private schools.  I'm also an experienced and highly sought after private tutor with a popular maths YouTube channel. I've created these Mathsaurus courses so you can learn to do maths like the very best on a fraction of the budget.

This course has been designed to replicate the experience of private tuition, with video hints and solutions as you work through the course that make it feel like you're in a real lesson.

I really enjoyed making this course and I hope that as well as learning a lot you're going to have fun along the way too. In the video introduction below I'll tell you more about the course.   Then if you're ready to get started  you can sign up for the free preview or the full course or learn more about it further down the page.

Reviews for Mathsaurus online courses

5 star rating

Sine and Cosine Rules

Joseph Donovan

A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!

A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!

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5 star rating

Nothing like it

Divij Divij

Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.

Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.

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5 star rating

Wish we had this course years ago

patrick ludden

This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.

This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.

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  • £19.00

    Sequences and series - APs and GPs

    30 days enrolment
    Get me ready!
  • £29.00

    Sequences and series - APs and GPs

    2 Year enrolment
    Get me ready!
  • £39.00

    Sequences and series - APs and GPs

    Unlimited enrolment
    Get me ready!

This course is also available as part of a bundle...

Get ready for A-level maths

Save money by signing up for the full bundle 'Get Ready for A-Level maths', containing 5 courses just like this one on a range of topics that will help you master the final stages of GCSE or IGCSE maths and get ready to start AS or A-level!

Master the hardest parts of GCSE and IGCSE and get ahead with A-level maths topics.

In this course you will learn about different ways to write down sequences and sums of sequences (series). You'll learn about a range of different types of sequences and how to express them precisely. In particular you'll learn in detail about the arithmetic and geometric sequences needed for A-level maths.

  • Suitable for students at the end of GCSE/IGCSE or the start of A-level (usually ages 15-17).

  • Learn by doing - as well as video introductions, each of the 5 chapters is organised around a contains an original downloadable worksheet.

  • Each worksheet has a range of easier and harder questions as well as some 'starred' questions to stretch the strongest students.

  • Every question in each worksheet has a fully explained video solution.

  • Free preview sections available after logging in (no payment details needed).

  • Available 24/7, go at your own pace. No ads, no distractions.

Course curriculum

Free preview includes teaching videos for all 25 modules.

    1. Linear sequences

      FREE PREVIEW
    2. Quadratic sequences

      FREE PREVIEW
    3. Geometric sequences

      FREE PREVIEW
    4. Intro to the worksheet

      FREE PREVIEW
    5. Upgrade to the full course to continue learning!

      FREE PREVIEW
    6. Worksheet E1: Introduction to sequences

    7. Question 1abc

    8. Question 1 def

    9. Question 1 ghi

    10. Question 1 jkl

    11. Question 1 mno

    1. Formal notation for sequences

    2. Sigma notation for summing series

    3. Worksheet E2 - Iterative sequences and sigma notation for summing series

    4. Question 1

    5. Question 2

    6. Question 3

    7. Question 4

    8. Question 5 Hint

    9. Question 5

    10. Question 6 Hint

    11. Question 6

    1. Arithmetic Progressions

    2. Sums of Arithmetic Progressions

    3. Worksheet E3 - Arithmetic progressions and their sums

    4. Question 1

    5. Question 2

    6. Question 3

    7. Question 4

    8. Question 5

    9. Question 6

    10. Question 7

    11. Question 8 hint

    12. Question 8

    13. Question 9 hint

    14. Question 9

    1. Geometric progressions

    2. GPs and APs compared

    3. Finding the number of terms using logs

    4. Worksheet E4 - Geometric progressions

    5. Question 1

    6. Question 2

    7. Question 3

    8. Question 4

    9. Question 5

    10. Question 6

    11. Question 7

    12. Question 8 hint

    13. Question 8

    14. Question 9 hint

    15. Question 9

    1. Finite sums of geometric progressions

    2. Infinite sums of geometric progressions

    3. Worksheet E5 - The sum of a geometric progression

    4. Question 1

    5. Question 2

    6. Question 3

    7. Question 4

    8. Question 5

    9. Question 6

    10. Question 7

    11. Question 8 hint

    12. Question 8

About this course

  • 64 lessons

Teacher

Kevin Olding

Kevin Olding is an experienced teacher and tutor, having worked for 7 years at two leading independent schools in London, and for over a decade as a private tutor. He holds a First Class MMATH Mathematics degree from Magdalen College, Oxford, an MSc in Applied Statistics from Birkbeck, University of London (Distinction and prize for best overall performace), MRes in Statistical Applied Mathematics (Distinction and soon PhD) from the University of Bath, as well as a degree in Law. He is also the creator of the Mathsaurus YouTube channel, which has tens of thousands of subscribers and millions of video views.

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