Algebra

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