In this topic, we will look at

- Arithmetic and Geometric Sequences and Series
- Exponents and Logarithms
- The Binomial Theorem
- Solving Systems of Linear Equations

- Permutations and Combinations
- Proof by Induction
- Complex Number

### Arithmetic Sequences

These are sequences where you go from term to term by adding a common difference. The sequence in the image 1, 5 , 9 has a common difference of 4 since we add 4 to the previous term. There are formula in the booklet to help you with this topic, but it is b

### Geometric Sequences

These are sequence where you go from term to term by multiplying by a common ratio. The sequence in the image 1, 2 , 4 , 8 has a common ration of 2 since we multiply the previous term by 2. There are formula in the booklet to help you with this topic, but

### Indices and Logarithms

Logarithms are useful for solving problems involving indices (or exponents). In fact, logarithms are just indices in disguise! The definition of a logarithm helps you to see its equivalence with indices

### Binomial Theorem

The following page will help you with questions about the Binomial Theorem (or Binomial Expansion). The Binomial Theorem is used for expanding brackets in the form (a+b)n. Questions on this topic are usually short ones: you usually only...

### Proof by Induction

Proof by Induction is a method of proof commonly used in HL mathematics. The method is always the same and questions are worth a good deal of marks in an exam. Therefore, it is really worth investing time to understand how to use it! Questions involving s