Sequences and Series

This online course is developed to cover all the content required for HSC Mathematics Advanced students studying Sequences and Series.

We will cover arithmetic sequences/series, geometric sequences/series and their applications, including financial applications (investment schemes and time payments).

While this course is developed for NSW HSC Mathematics Advanced, it is also suitable for students studying Mathematical Methods (for other Australian states), A-Level Mathematics, IB Mathematics (AI SL / AA SL) and Precalculus / Algebra II.

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Meet Huan

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Meet Huan - -

Hello! I am Huan - founder of EIM Tuition.

Growing up in a first-generation immigrant family, I experienced first-hand the belief that education is the key to opportunity. Like many of the students I have helped, I went through the grind of preparing for the HSC, aiming for a top ATAR in a highly competitive selective high school environment.

That journey shaped how I teach (and EIM operates) today. Since 2010, I’ve helped 1,000+ students from 50+ schools across Sydney achieve outstanding results - including 99.95 ATARs, state ranks and countless Band 6’s.

Through these online courses, I hope to share the same clarity, structure and strategies that have helped so many students succeed - and help you achieve your own goals, wherever you’re studying from.

Course FAQ

Stay tuned!

1. Introduction to Sequences

2. Example 1

3. Example 2

4. Example 3

5. Example 4

1. What are Arithmetic Sequences?

2. Condition for APs

3. General Term of AP

4. Example 5

5. Example 6

6. Example 7

7. Example 8

8. Example 9

9. Example 10

1. Sigma Notation

2. Example 1

3. Example 2

1. Partial Sum

2. Example 1

3. Example 2

1. Arithmetic Series

2. Example 1

3. Example 2

4. Example 3

5. Example 4

6. Example 5

7. Example 6

8. Example 7

9. Example 8

10. Example 9

11. Example 10

1. What is a Geometric Sequence?

2. Condition for GPs

3. Example 3

4. Example 4

5. General Term of GP

6. Example 6

7. Example 7

8. Example 8

1. Geometric Series

2. Example 1

3. Example 2

4. Example 3

5. Example 4

6. Example 5

7. Example 6

8. Example 7

1. Limiting Sum

2. Example 1

3. Example 2

4. Example 3

5. Example 4

6. Example 5

7. Example 6

8. Example 7

9. Example 8

1. Example 1

2. Example 2

3. Example 3

4. Example 4

5. Example 5

1. Example 1

2. Example 2

3. Example 3

4. Example 4

5. Example 5

1. Arithmetic and Geometric Means

2. Example 1

3. Example 2

4. Example 3

1. Revision of Financial Mathematics

2. Example 1

3. Example 2

4. Example 3

5. Example 4

1. Example 1

2. Example 2

3. Example 3

4. Example 4

5. Example 5

Meet Huan - -