• Chapter 8 – Sequences

     

    When students have completed this lesson they should be able to:

    • Know that a sequence can be constructed from a formula or an inductive definition
    • Be familiar with triangle, factorial, Pascal and arithmetic sequences
    • Know how to find the sum of an arithmetic series

     

    Chapter 9 – The Binomial Theorem

     

    When students have completed this lesson they should be able to:

    • Use Pascal’s Triangle to find the expansion of when n is small
    • Know how to calculate the coefficients in the expansion of when n is large
    • Use the notation in the context of the binomial theorem

     

    Chapter 14 – Geometric Sequences

     

    When students have completed this lesson they should be able to:

    • Recognize geometric sequences and be able to do calculations on them
    • Know and be able to obtain the formula for the sum of a geometric series
    • Know the condition for a geometric series to converge, and how to find its limiting sum